SOLUTION: The perimeter of a rectangle is 136 cm. The area is 1035 cm. Find the dimensions of the rectangle.

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Question 958940: The perimeter of a rectangle is 136 cm. The area is 1035 cm. Find the dimensions of the rectangle.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
system%28xy=1035%2C2x%2B2y=136%29

system%28xy=1035%2Cx%2By=68%29

x%2868-x%29=1035
68x-x%5E2=1035
-68x%2Bx%5E2=-1035
x%5E2-68x%2B1035=0

Ignoring attempt to factorize, although the quadratic part IS factorable,
discriminant is 68%5E2-4%2A1035=484=22%5E2

x=%2868%2B-+22%29%2F2
x=34%2B-+11
highlight%28x=23%29 or highlight%28x=45%29


Dimensions are 23 and 45.