SOLUTION: The perimeter of a rectangular concrete slab is 52 feet and its area is 165 square feet.What is the length of the longer side of the slab?

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Question 58170: The perimeter of a rectangular concrete slab is 52 feet and its area is 165 square feet.What is the length of the longer side of the slab?
Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
XY=165
2X+2Y=52
2X=52-2Y
X=26-Y
(26-Y)Y=165
26Y-Y^2=165
Y^2-26Y+165=0
(Y-15)(Y-11)=0
Y-15=0
Y=15
Y-11=0
Y=11
THUS
X*11=165
X=165/11
X=15
SO THE DIMENTIONS ARE 11 BY 15