Question

the Gilberts are designing a rectangular patio for their backyard the patio has an area of 432 square feet the width of the patio 3/4 its length what is the length of the patio. please help

Answer 1

24

Explanation:

because i said so

Answer 2

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Given information
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Area = 432 ft²
Width = 3/4 of its length

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Form equation and solve for x
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Let the length be
`x`
Therefore the width is
`(3)/(4) x`

Area = Length x Widith

`432 = x * (3)/(4) x`

`432 =(3)/(4) x^2`
[divide by 3/4 on both sides]

`432 / (3)/(4) =(3)/(4) x^2 / (3)/(4)`

`576 = x^2`

`x^2 = 576`

`x = √(576)`

`x = 24`

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Find Length
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Length = x = 24

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Answer : Length = 24 ft
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