Janice puts a fence around her rectangular garden. The garden has a length that is 9 feet less than 3 times its width. What is the perimeter of Janice's fence if the area of her garden s 5,670 square feet?

Answers

Answer 1

Answer:

P = 342 ft

General Formulas and Concepts:

Pre-Algebra

Evaluations

Order of Operations: BPEMDAS

BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right

Distributive Property

Algebra I

Equality Properties

Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of Equality

Terms/Coefficients

Factoring/Expanding

Quadratics

Solving quadratic equationsStandard Form: ax² + bx + c = 0

Geometry

Area of a Rectangle Formula: A = lw

l is lengthw is width

Perimeter of a Rectangle Formula: P = 2w + 2l

l is lengthw is width

Step-by-step explanation:

Step 1: Define

Identify variables.

A = 5670 ft²

"Length that is 9 feet less than 3 times its width" → l = 3w - 9

Step 2: Find w

Substitute in variables [Area of a Rectangle Formula]:                                w(3w - 9) = 5670[Distributive Property] Expand:                                                                      3w² - 9w = 5670[Subtraction Property of Equality] Rewrite [Standard Form]:                      3w² - 9w - 5670 = 0[Quadratic] Factor:                                                                                          3(w - 45)(w + 42) = 0[Quadratic] Solve [Find roots]:                                                                      w = -42, 45

Since length/width cannot be negative, we know that w = 45 ft.

Step 3: Find l

Substitute in w [Length Formula]:                                                                   l = 3(45) - 9[Order of Operations] Evaluate:                                                                       l = 126 ft

Step 4: Find Perimeter

Substitute in variables [Perimeter of a Rectangle Formula]:                        P = 2(45 ft) + 2(126 ft)[Order of Operations] Evaluate:                                                                      P = 342 ft

∴ The perimeter of Janice's fence is 342 ft.

Answer 2

Let width be x ft

Length be 3x-9ft

Now

Area=Length ×Breadth5670=x(3x-9)5670=3x²-9x3x²-9x-5670=0

On solving we wI'll get x=-42,45

Take it positive

x=45width=45ftLength=3(45)-9=135-9=126ft

Now

Perimeter

2(Length+Width)2(45+126)2(171)342ft

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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quarters:8

Step-by-step explanation:

she has 2$ in quarters and $0.25 in dimes

Answer:

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Step-by-step explanation:

Important info:

18 Coins worth a total of $2.25

Note:

Dimes = .10

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Question to Answer:

How many each type of Coin does she have?

Solution:

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Now we have 1 Quarter and 10 Dimes.

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{ Couldn't figure out 18 Coins worth a total of $2.25 the closest I could get was 15 Coins worth a total of $2.25}

~[ RevyBreeze]~

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Answers

Answer:

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36.19047619 million

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

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Subtracting a negative number is the same as adding a positive number — that is, go up on the number line. This rule works regardless of whether you start with a positive number or a negative number.

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Answers

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Step-by-step explanation:

7 6/11−5 13/15

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Answers

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Answers

Answer:

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Mary - 22 years old

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Answers

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Answers

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https://brainly.com/question/28853516

#SPJ2

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Answers

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there is no screenshot or I just can't see it

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