Question 880990: The perimeter of a rectangular cement patio is 44 meters. The area is 117 square meters. What are the dimensions of the patio? Answer by lwsshak3(11628) (Show Source):
You can put this solution on YOUR website! The perimeter of a rectangular cement patio is 44 meters. The area is 117 square meters. What are the dimensions of the patio?
let x=length of patio
let y=width of patio
..
2x+2y=perimeter=44
2y=44-2x
y=22-x
..
length*width=area
x*y=117
x(22-x)=117
22x-x^2=117
x^2-22x+117=0
(x-9)(x-13)=0
x=9
y=22-x=13
or
x=13
y=22-x=9
dimensions of the patio are 9m and 13m
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