SOLUTION: The perimeter of a rectangle is 34 inches, and the area is 60 square inches. What is the length and width of the rectangle.

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Question 464834: The perimeter of a rectangle is 34 inches, and the area is 60 square inches. What is the length and width of the rectangle.
Answer by sofiyac(983) About Me  (Show Source):
You can put this solution on YOUR website!
let width be x and length y, then
2x+2y=34
xy=60
solve the system
x=60/y
2(60/y)+2y=34
120/y+2y=34
120+2y^2=34y
2y%5E2-34y%2B120=0
y%5E2-17y%2B60=0
(y-5)(y-12)=0
y=5 and y=12
so the sides are 5 and 12 since 5*12=60