SOLUTION: What is the length and width of the rectangle The area of the rectangle is 84 sq. in. Find its length and width. The top of the rectangle is x+3 and the side is x-2

Algebra ->  Average -> SOLUTION: What is the length and width of the rectangle The area of the rectangle is 84 sq. in. Find its length and width. The top of the rectangle is x+3 and the side is x-2       Log On


   



Question 529682: What is the length and width of the rectangle
The area of the rectangle is 84 sq. in. Find its length and width.
The top of the rectangle is x+3 and the side is x-2

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
What is the length and width of the rectangle
The area of the rectangle is 84 sq. in. Find its length and width.
The top of the rectangle is x+3 and the side is x-2
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let width=x-2
let length=x+3
Area = length*width
(x-2)(x+3)=84
FOIL
x^2+x-6=84
x^2+x-6-84=0
x^2+x-90=0
(x+10)(x-9)=0
x=-10 (reject, length & width>0
or
x=9
x-2=7
x+3=12
ans:
width=7
length=12