A rectangular garden is 9 ft longer than it is wide. Its area is 322 ft^2. What are its dimensions? width length

Emmanuel Pace

Emmanuel Pace

Answered question

2022-07-26

A rectangular garden is 9 ft longer than it is wide. Its area is 322 ft^2. What are its dimensions?
width
length

Answer & Explanation

dasse9

dasse9

Beginner2022-07-27Added 12 answers

let width=rjt
length=a +9ft
since garden is 9ft longer than wide
area = 322sqft
area of rec tan gle is length * width
=>(x+9)x
x^2+92x = 322
x^2+9x-322 =0
x^2+23x-14r-322 =0
(x+23)(x- 14) =0
-23,14
since length is nonnegetive
x = 14 = width
length = x+9 = 23ft

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