SOLUTION: the perimeter of a rectangle is 36 cm & its area is 80sq. cm final its length & breath?

Question 949912: the perimeter of a rectangle is 36 cm & its area is 80sq. cm final its length & breath?
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
the perimeter of a rectangle is 36 cm & its area is 80sq. cm final its length & breath?
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let x=width (shorter dimension)
let y=length
set up 2 equations, one for perimeter and the other for area
2x+2y=perimeter=36
x*y=area=80
y=80/x
2x+2y=36
2x+2*80/x=36
2x+160/x=36
2x^2+160=36x
x^2-18x+80=0
(x-10)(x-8)=0
x=8
y=80/x=10
width=8 cm
length=10 cm
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