SOLUTION: if the width of a rectangle is four feet less than the length and the perimeter is 152 feet, find the length of the rectangle.

Algebra ->  Rectangles -> SOLUTION: if the width of a rectangle is four feet less than the length and the perimeter is 152 feet, find the length of the rectangle.       Log On


   

Question 1021060: if the width of a rectangle is four feet less than the length and the perimeter is 152 feet, find the length of the rectangle.
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
L=length; W=width=L-4ft
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P=2(L+W)
152 feet=2(L+(L-4ft))
76ft=2L-4ft
80ft=2L
40ft=L
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ANSWER: The length of the rectangle is 40 feet.
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CHECK:
W=L-4ft=40ft-4ft=36ft
Width is 36 feet.
P=2(L+W)
152 feet=2(40ft+36ft)
152 feet=2(76ft)
152 feet=152 feet
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