Answer:
A will receive 288, B will receive 432, and C will receive 144.
Step-by-step explanation:
The total ratio of the parts is 2+3=5. This means that the whole amount represents 5 parts.
To find the size of one part, we can divide the total amount by the total number of parts:
One part = 720/5 = 144
Now that we know the size of one part, we can use the ratio to find the amounts that A, B, and C will receive:
A will receive 2 parts: 2 × 144 = 288
B will receive 3 parts: 3 × 144 = 432
C will receive 1 part: 1 × 144 = 144
Therefore, A will receive 288, B will receive 432, and C will receive 144.
Find the equation of the ellipse
The equation of the ellipse whose vertices are at (-3, -7), and (-3, 5), and focus is at (-3, 1) is; [tex]\frac{(x + 3}{8}+\frac{(y -2}{9} = 1[/tex]
What is standard form of the equation of an ellipse?The equation of an ellipse can be presented as follows;
[tex]\frac{(x - h)^2}{b^2} + \frac{(y-k)^2}{a^2} = 1[/tex]
Where;
(h, k) = The coordinates of the center of the ellipse
a = The semi major axis
b = The semi minor axis
(h, k ± a) = The vertex coordinates
(h ± b, k) = The covertex coordinates
(h, k ± c) = The coordinates of the foci
c² = a² - b²
The vertex of the specified ellipse are; (-3, -1) and (-3, 5)
The focus = (-3, 1)
Therefore;
h = -3k + a = 5
k - a = -1
2·k = 4
k = 4/2 = 2
k = 2k + a = 5
2 + a = 5
a = 5 - 2 = 3
a = 3k - c = 1
2 - c = 1
-c = 1 - 2 = -1
-c = -1
c = 1
c² = a² - b²
Therefore;
1² = 3² - b²
b² = 3² - 1² = 8
b² = 8The equation of the ellipse is therefore;
[tex]\frac{(x - (-3))^2}{8} + \frac{(y-2)^2}{3^2} = \frac{(x + 3)^2}{8} + \frac{(y-2)^2}{9} = 1[/tex]Learn more on the equation of an ellipse here: https://brainly.com/question/27745454
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Marjorie teaches piano. The equation P = 35s models the
relation between her weekly profit, P, in dollars and the number
of student lessons, s, that she teaches.
a. Find Marjorie's profit for a week when she teaches no
student lessons.
b. Find the profit for a week when she teaches 20 student
lessons.
c. Interpret the slope and P-intercept of the equation.
W
Marjorie's profit for a week when she teaches no student lessons is $0. Marjorie's profit for a week when she teaches 20 student lessons is $700. The slope of the equation P = 35s is 35
How to calculate the Interpret the slope and P-intercept of the equation.a. To find Marjorie's profit for a week when she teaches no student lessons, we substitute s = 0 into the equation P = 35s:
P = 35(0) = 0
Therefore, Marjorie's profit for a week when she teaches no student lessons is $0.
b. To find the profit for a week when she teaches 20 student lessons, we substitute
s = 20 into the equation
P = 35s:
P = 35(20) = 700
Therefore, Marjorie's profit for a week when she teaches 20 student lessons is $700.
c. The slope of the equation P = 35s is 35. This means that for each additional student lesson Marjorie teaches, her profit increases by $35.
The P-intercept of the equation is 0, which represents the profit Marjorie makes when she does not teach any student lessons.
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8.2
#4
Quadrilateral LMQW is shown.
W
M
mzL-14x-10
mzM-23y-4
m/N - 6x + 22
IF LMNW is a parallelogram,
what is the value of x?
Type your answer as a whole number.
Answer:
Hi! x = 4
Step-by-step explanation:
the shape is a parallelogram!
so the opposite angles must be the same
therefore, you can equate angle L and angle N to find your x!
Hope this helps
Nancy and George (?? relationship) form EB Corporation with the following investments: cash by Nancy of $ ; land by George (basis of $ and fair market value of $ ). EB Corporation issues …. shares of stock,....... each to Nancy and George. Thus, each receives stock in EB worth $. Which of the following statements is correct? [Hints: about section 351?]
The correct statement is that the transfer of land by George to the corporation in exchange for stock should qualify for non-recognition of gain or loss under section 351 of the IRC, and each shareholder's basis in the stock received would depend on their respective contributions.
What is fair market value and stocks?Fair market value is the amount that a product would sell for on the open market if all parties were acting in their own best interests, were not subject to excessive pressure, and were given a reasonable amount of time to complete the transaction (FMV).
The given scenario describes the formation of a corporation by Nancy and George, where Nancy contributes cash and George contributes land. The corporation issues shares of stock to Nancy and George in exchange for their respective contributions.
Section 351 of the Internal Revenue Code (IRC) provides rules for the non-recognition of gain or loss on the transfer of property to a corporation in exchange for its stock. To qualify for non-recognition, certain requirements must be met, including that the transfer must be made in exchange for stock, and the transferors must be in control of the corporation immediately after the exchange.
Assuming that the requirements of section 351 are met, the transfer of the land by George to the corporation in exchange for stock should not result in any immediate tax consequences. George's basis in the stock received would be equal to his basis in the land transferred. Nancy's contribution of cash would not affect her basis in the stock received.
Therefore, the correct statement is that the transfer of land by George to the corporation in exchange for stock should qualify for non-recognition of gain or loss under section 351 of the IRC, and each shareholder's basis in the stock received would depend on their respective contributions.
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Complete question is: Nancy and George form EB Corporation with the following investments: cash by Nancy of $ ; land by George (basis of $ and fair market value of $). EB Corporation issues shares of stock, each to Nancy and George. Thus, each receives stock in EB worth $.
a. the transfer of land by George to the corporation in exchange for stock should qualify for non-recognition of gain or loss
b. Basis of $ in the EB Corp stock (assuming Bluebird reduces its basis in the land to $).
c. Basis of $ in the EB Corp stock (assuming Bluebird reduces its basis in the land to $).
d. Basis of $ in the EB Corp stock (assuming Bluebird reduces its basis in the land to $).
e. Basis of $ in the EB Corp stock, because her basis exceeded the fair market value of the land she contributed.
Given that a function, g, has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45 and that g(0) = -2 and g(-9) = 6, select the statement that could be true for g. A. g(-4) = -11 B. g(0) = 2 C. g(7) = -1 D. g(-13) = 20
The statement that could be true for g is D. g(-13) = 20.
What statement could be true?
We are given that the function g has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45, and we also know that g(0) = -2 and g(-9) = 6.
We can use this information to eliminate the statements that are not true and find the one that could be true for g.
A. g(-4) = -11: Since the range of g(x) is between -5 and 45, and g(-4) is less than -5, this statement cannot be true.B. g(0) = 2: We are given that g(0) = -2, so this statement is not true.C. g(7) = -1: 7 is outside the domain of g(x), so we cannot determine the value of g(7).D. g(-13) = 20: Since g(-9) = 6 and the range of g(x) is between -5 and 45, we can see that g(x) increases as x decreases.Therefore, g(-13) is greater than g(-9) and could be 20, so this statement could be true.
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2) The subtotal of your computer purchase was $398.50. If the sales tax rate is 7.25%, how much will you pay in tax for the computer?
The sale tax fοr the cοmputer is $28.89.
What is sale tax?A sales tax is a fee that is paid tο the gοvernment when certain gοοds and services are sοld. Typically, laws permit the seller tο charge the custοmer the tax at the time οf purchase. It is typically referred tο as a use tax when a tax οn gοοds οr services is paid directly tο a gοverning bοdy by a cοnsumer.
Yοur cοmputer purchase cοst $398.50 in tοtal. The sales tax is 7.25 percent.
The sale tax = cοst οf the prοduct × pecentage οf tax
Sales tax = 398.50 × 7.25%
Cοnvert percentages intο fractiοns:
Sales tax = 398.50 × (7.25/100)
Sales tax = 28.89125
sales tax ≈ 28.89
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Lol please help me , cant get this right!!!
The solution of the quadratic equation x² + 10x -4 found using the quadratic formula is: x = -5 ± √29.
Explain about the quadratic formula?Sometimes, factoring the quadratic, setting its factor equal to zero, but then solving each factor is the quickest way to find the answer to "ax² + bx + c = 0" given the value of x.
Yet, there are situations when the quadratic is too complicated, it just doesn't factor in anyway, or you might not feel like factoring at all. The Quadratic Formula also can provide the solutions for you even when factoring sometimes isn't going to be successful.
The given equation:
x² + 10x -4
The general quadratic equation can be written as:
ax² + bx +c
Then, roots of the equation can be found using quadratic formula:
x = -b±√(b²-4ac))/(2a)
a = 1, b = 10 and c = -4
Put the values:
x = [ -10 ± √(10²- 4*1*(-4))]/ (2*1)
x = [ -10 ± √(100 + 16)]/ 2
x = [-10 ± √116] / 2
x = [-10 ± 2√29] / 2
x = -5 ± √29
Thus, the solution of the quadratic equation x² + 10x -4 found using the quadratic formula is: x = -5 ± √29.
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Ms. Jan brought in cookies for her class. She gave put half of them in the morning. At lunch, she gave out 12 more. She then had 10 cookies left. How many cookies did she bring in?
Answer:
[tex]x=44[/tex]
Step-by-step explanation:
lets say X is the cookies Ms. Jans Brought to her class
first she put half of then in the morning (that is [tex]x/2[/tex] of her cookies)
then she gave out 12 more. That is 12 less cookies.
the total cookies left is the total amount minus the half, minus the 12 cookies:
[tex]x-x/2-12=10[/tex]
From this equation we can solve for X
[tex]x/2=10+12[/tex]
[tex]x=2(22)\\[/tex]
[tex]x=44[/tex]
Just for check, if she brought 44 cookies, and put 22 (half of then), she still have 22 cookies, then she 12 more, then only 10 are left. So 44 is the answer.
What is the radius of a hemisphere with a volume of 6043 in 3 , 6043 in 3 , to the nearest tenth of an inch?
The required radius of the hemisphere is approximately 20.27 inches.
What is Hemisphere?Half of a sphere, with one edge flat and the other in the form of a bowl, makes up a hemisphere, a 3D geometric object. The northern and southern hemispheres, a bowl, mushrooms, and other objects are some of the most typical instances of hemispheres.
According to question:The volume V of a hemisphere with radius r is given by:
[tex]$V = \frac{2}{3}\pi r^3$$[/tex]
We are given that the volume of the hemisphere is 6043 cubic inches. So we have:
[tex]$$\begin{align*}\frac{2}{3}\pi r^3 &= 6043 \r^3 &= \frac{3}{2}\cdot 6043 \cdot \frac{1}{\pi} \r^3 &= 9051 \r &= \sqrt[3]{9051} \approx 20.27 \text{ in}\end{align*}[/tex]
Therefore, the radius of the hemisphere is approximately 20.27 inches.
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Jeriel is driving to a concert and needs to pay for parking. There is an automatic fee of $8 just to enter the parking lot, and when he leaves the lot, he will have to pay an additional $3 for every hour he had his car in the lot. How much total money would Jeriel have to pay for parking if he left his car in the lot for 3 hours? How much would Jeriel have to pay if he left his car in the lot for
t
t hours?
Answer:
Jeriel would have to pay $17
Step-by-step explanation:
t= hours
$3 per t hour +$8 fee
t=3
3(3)+8= $17
How much would Jeriel have to pay if he left his car in the lot for t hours:
3t+8
How much total money would Jeriel have to pay for parking if he left his car in the lot for 3 hours?
$17
What is the solution to the system of equations?
3 x minus 4 y = 16. 2 x + 3 y = 5.
Answer:
It's 5
Step-by-step explanation:
i tootk the test
Step-by-step explanation:
To solve the system of equations:
3x - 4y = 16
2x + 3y = 5
We can use either substitution or elimination method. Here, we will use the elimination method:
Multiply the second equation by 4 to get:
8x + 12y = 20
Now we can add this equation to the first equation:
3x - 4y + 8x + 12y = 16 + 20
Simplifying the left side and adding the right side, we get:
11x = 36
Dividing both sides by 11, we get:
x = 36/11
Substituting this value of x into the second equation, we get:
2(36/11) + 3y = 5
Multiplying through by 11 to eliminate the fraction, we get:
72/11 + 3y = 55/11
Subtracting 72/11 from both sides, we get:
3y = -17/11
Dividing both sides by 3, we get:
y = -17/33
Therefore, the solution to the system of equations is:
x = 36/11, y = -17/33
or in decimal form,
x ≈ 3.27, y ≈ -0.52
carlos pays a monthly fee of 20$, he pays an additonal fee of 0.06 per minute of use. the least he has be charged in a month is 103.10
Simplify pleaseeee help I need to understand it
Answer:
hope this helps you a lot
9. Use the expression 32.6 ÷ 10-5 x 8-9.16 to create an expression that includes
a set of parentheses so that the value of the expression is 43.10.
Use the expression 6.3 x 15 ÷ 3+ 6.8-28.09 to create an expression that
includes a set of parentheses so that the value of the expression is 46.25.
The first parentheses, (10-5), will calculate to 5. The second parentheses, (8-9.16), will calculate to -1.16.
The first parentheses, (3 + 6.8), will calculate to 9.8. The second parentheses, (6.3 x 15), will calculate to 94.
What are Parentheses?Parentheses are symbols used to group numbers or variables together, usually for the purpose of making calculations easier. Parentheses are commonly used to group numbers within an equation or expression and to indicate that certain operations should be performed before or after others. They are also used to clarify the meaning of a mathematical expression or to help identify the parts of an equation.
To create an expression with parentheses so that the value of the expression 32.6 ÷ 10-5 x 8-9.16 is 43.10, the following equation can be used: (32.6 ÷ (10-5)) x (8-9.16) = 43.10. The parentheses are used to ensure that the values within them are calculated first. The first parentheses, (10-5), will calculate to 5. The second parentheses, (8-9.16), will calculate to -1.16. Then the resulting equation will be 32.6 ÷ 5 x -1.16, which will equal -43.10.
To create an expression with parentheses so that the value of the expression 6.3 x 15 ÷ 3 + 6.8 - 28.09 is 46.25, the following equation can be used: (6.3 x 15) ÷ (3 + 6.8) - 28.09 = 46.25. The parentheses are used to ensure that the values within them are calculated first. The first parentheses, (3 + 6.8), will calculate to 9.8. The second parentheses, (6.3 x 15), will calculate to 94.
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What factor would you need to multiply by (3d+1) to get 9d^2 + 6d + 1
Answer:
To get 9d^2 + 6d + 1 from (3d+1), you would need to multiply by 3d+1 again.
Expanding (3d+1)(3d+1), you get:
9d^2 + 3d + 3d + 1
Simplifying, you get:
9d^2 + 6d + 1
Therefore, you need to multiply (3d+1) by (3d+1) or (3d+1)^2 to get 9d^2 + 6d + 1.
Exo math 30 page 229
What is the area of the trapezoid?
________________________________
(reporting wrong/spam answers)
(giving brainliest to the correct answer)
________________________________
Answer:
144inch^2
Step-by-step explanation:
8×8=64
64÷2=32
10×8=80
80+32+32=144
Answer:
144 in
Step-by-step explanation:
Area of a trapezoid: the large base plus the small base multiplied by the height divided by two
small base:10 in
large base: 10+8+8=26
(10+26)×8 = 36×8 = 144 in
2 2
PLS HELP whats the answeeeerrrrr 53 POINTS ill mark brainlist! just helppppp
Answer:
In order of the expressions: 3 1/4, 3 1/3, 3 1/2, and 3 1/6
Step-by-step explanation:
Pre-Algebra Grade 8: Unit 1 Lesson 8 Plane Art (Alternative Portfolio) (Connections)Has anyone done this assignment? Just wanting to get some pointers to get started.
Plane Art include squares, rectangles, triangles, circles, pentagοns, οctοgen, hexagοns, οvals etc. A grοuping οf shapes is called pοlygοns, like squares and rectangles, but circles and οvals are nοt pοlygοns.
What is a plane?A plane is a twο-dimensiοnal surface measured by twο linearly independent pοints; a plane dοesn't have an οbviοus directiοn and can extend indefinitely. In algebra, the pοints are plοtted in the cοοrdinate plane which has a number line extending left tο right and upwards and dοwnwards endlessly and infinitely.
What is Plane Figures and Shapes?In cοntrast tο sοlid shapes, a clοsed twο-dimensiοnal οr flat surface figure is knοwn as a plane shape. Instead οf edges and faces, they pοssess several light lines that make a cοrner οr a vertex where the twο straight lines meet. Sοme basic plane shapes are triangles, squares, rectangles, circles and οvals.
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Complete question:
Pre-Algebra Grade 8: Unit 1 Lesson 8
What is Plane Art?
(Alternative Portfolio)
(Connections)
4. A study by the Technology Services department revealed company employees receive
an average of two emails per hour. Assume the arrival of these emails is approximated
by the Poisson distribution. What is the probability that an employee received 5 or more
emails during the same period?
She received 5 or more emails in the same time period with a probability of 0.05265.
What is probability?Simply put, probability is the likelihood that something will occur.
When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes.
Statistics is the study of events that follow a probability distribution.
The higher the likelihood, the more likely it is that the event will take place.
So, the probability would be:
We know that λ = 2.
The formula for the poisson distribution states:
P(x = x) = (λˣ * e^⁻ˣ) / x!
P(x = 1) = (2¹ *e⁻²) / 1!
P(x = 1) = (2 * 0.1353352) = 0.2706
Then,
P(x ≥ 5) = 1 - P(x < 5)
1 - P(x < 5) = 1 - [p(x = 0) + p(x = 1) + p(x = 2) + p(x = 3) + p(x = 4)]
We gather the individual probabilities and combine them. We can use a Poisson distribution calculator to speed up computations:
1 - P(x < 5) = 1 - (0.13534+0.27067+0.27067+0.18045+0.09022)
1 - P(x < 5) = 1 - 0.94735 = 0.05265
P(x ≥ 5) = 1 - P(x < 5) = 0.05265
Therefore, she received 5 or more emails in the same time period with a probability of 0.05265.
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Correct question:
An internal study by the Technology Services department at Lahey Electronics revealed company employees receive an average of two emails per hour. Assume the arrival of these emails is approximated by the Poisson distribution. What is the probability she received 5 or more emails during the same period?
The area of a plane shape is given by A=(10x-2)cm square. The area is not greater or equal to 12cm square. It is however not less than 2cm. Find the smallest possible area of this shape
Answer:
Step-by-step explanation:
We know that the area of the plane shape is given by A = (10x - 2) cm^2, and we also know that:
A is not greater than or equal to 12 cm^2 (i.e., A < 12), and
A is not less than 2 cm^2 (i.e., A > 2).
To find the smallest possible area of the shape, we need to find the smallest possible value of x that satisfies these conditions.
From the given conditions, we have:
10x - 2 < 12
10x < 14
x < 1.4
and
10x - 2 > 2
10x > 4
x > 0.4
Therefore, the smallest possible value of x that satisfies both conditions is:
0.4 < x < 1.4
To find the smallest possible area, we can substitute the lower bound of x into the area formula:
A = (10x - 2) cm^2
A = (10 × 0.4 - 2) cm^2
A = 2 cm^2
Therefore, the smallest possible area of the shape is 2 cm^2.
From the figure find x,y,z, a,b, and c
Let f(x)=x^2+3. Find F(2)
Answer:
7
Step-by-step explanation:
When you put a value for x in a function, it means that you substitute all terms of x for that value you just substitute for x=2. The x term in the function is x^2, so that squared would be 4. You then add 3, yielding a total result of 7.
Answer:
f(2) = 7
Step-by-step:
Solution :Let f(x)=x^2+3. Find f(2)
[tex] \begin{gathered}{\longrightarrow{f(x)= {x}^{2} +3}}\end{gathered}[/tex]
[tex] \begin{gathered}{\longrightarrow{f(2)= {(2)}^{2} +3}}\end{gathered}[/tex]
[tex] \begin{gathered}{\longrightarrow{f(2)= {(2 \times 2)}+3}}\end{gathered}[/tex]
[tex] \begin{gathered}{\longrightarrow{f(2)= {(4)}+3}}\end{gathered}[/tex]
[tex] \begin{gathered}{\longrightarrow{f(2)= 4+3}}\end{gathered}[/tex]
[tex]\begin{gathered}{\longrightarrow{\underline{\underline{f(2)= 7}}}}\end{gathered}[/tex]
Hence, the value of f(2) is 7.
————————————————Use y = 4* to graph log4 x - 3
Therefore , the solution of the given problem of graphs comes out to be curve of y = 4x – 3 can be plot by y=4x graph.
A graph is what?Graphs are used by theoretical physicists to analytically and graphically display assertions rather than values. Typically, a graph coordinate point shows the relationship between several distinct objects. A graph is a particular kind of pas e carrier construction composed of groups and lines. The borders, also known as the channels, should be joined together with glue.
Here,
The methods below can be used to plot y = log4 x - 3 as a graph:
Move the y-axis of the graph of
=> y = log4 x down 3 units, making the horizontal asymptote y = -3 the new x-axis.
To acquire the graph of
=> y = log4 x – 3, reflect the resulting graph across the line y = x.
Here is a detailed explanation of how to plot y = log4 x - 3:
Diagram y equals 4x:
Plot the following y = 4x key locations first:
=> Y = 40 = 1 when x = 0.
=> If x = 1, then y = 41 = 4.
=> Y = 4-1 = 1/4 when x = -1.
The graph of y = 4x can be easily drawn using just these three values.
The curve of y = 4x is now 3 units lower:
To do this, take each y-coordinate and deduct 3 from it spots on the y = 4x graph. We now have the curve of y = 4x – 3:
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A worker's annual income is £3,000 if the first £500 is tax free and on the remaining amount tax is paid at the rate of 5 penny per pound; find the total tax paid by the man. A. £125 B. £150 C. £175 D. £350 E. £650
Answer:
The taxable income is £3000 - £500 = £2500.
The tax paid at the rate of 5 penny per pound is:
0.05 x £2500 = £125
Therefore, the total tax paid by the man is £125. Answer: A. £125
Step-by-step explanation:
Answer this question and explain
Answer:
I’m pretty sure it’s Salma because hers is all positive na the graph is and the graph is in quadrant 1 which is all positive
Help 100 points plus brainiest
Answer: 3/2, 2/3, 1/3
Step-by-step explanation:
I need the. answer asap
Answer:
(-7,2)
Step-by-step explanation:
The three sides of a triangular fence have lengths 4x + 5, y − 7, and 3x − 2. What is the total perimeter?
A) 7x + y + 10 feet
B) 7x + y − 4 feet
C) 7x + y feet
D) 4x + y − 4 feet
The correct option is (b) i.e. the total perimeter of the fence is 7x + y − 4 feet.
What is Perimeter?
Perimeter is the total length of the boundary or outer edge of a two-dimensional shape, such as a polygon, circle, or ellipse. It is the sum of the lengths of all the sides or arcs that make up the shape. For example, the perimeter of a square is the sum of the lengths of all its sides, while the perimeter of a circle is the circumference, which is the distance around the circle. The perimeter is often measured in units such as centimeters, meters, or feet, depending on the context of the problem.
Given : sides of the fence
s₁ = 4x + 5
s₂ = y − 7
s₃ = 3x − 2
We know that, perimeter of a triangle is sum of all three sides.
So, Perimeter of the fence = s₁+ s₂+ s₃
= 4x + 5 + y − 7 + 3x − 2
= 7x + y - 4 ft.
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If the graph below is in meters, find the area of the shaded figure.
The area of the shaded part is 20m²
What is area?The space enclosed by the boundary of a plane figure is called its area. The area of a rectangle is length × width It is measured in square units like cm² and m².
To find the area of the square, we need to find the side length.
The side length is found by using Pythagoras theorem
each box is 1m, then 4 boxes is 4m and 2 boxes is 2m
therefore;
l= √ 4²+2²
l = √ 16+4
l = √20 = 2√5
area a square is l²
A = (2√5)²
A = 4× 5
A = 20m²
therefore the area of the shaded part is 20m²
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