SOLUTION: the perimeter of a rectangular swimming pool is 76 meters. the length is 6 meters more than its width. find the dimensions of the swimming pool.

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Question 949568: the perimeter of a rectangular swimming pool is 76 meters. the length is 6 meters more than its width. find the dimensions of the swimming pool.
Found 2 solutions by MathLover1, macston:
Answer by MathLover1(20849) (Show Source):
You can put this solution on YOUR website!
if the perimeter of a rectangular swimming pool is , means
if the length is more than its width, then we have
...substitute in
...sole for

now find

so, the dimensions of the swimming pool are:
and

Answer by macston(5194) (Show Source):
You can put this solution on YOUR website!
the perimeter of a rectangular swimming pool is 76 meters. the length is 6 meters more than its width. find the dimensions of the swimming pool.
W=width; L=length=W+6m ; P=perimeter=2(L+W)=76 m
P=2(L+W)
76 m=2(L+W) Divide each side by 2.
38 m=L+W Substitute for L.
38 m=W+6m+W Subtract 6m from each side.
32 m=2W Divide each side by 2.
16 m=W ANSWER 1: The width is 16 meters.
L=W+6 m=16 m+6 m=22 m ANSWER 2: Length is 22 meters.
CHECK:
P=2(L+W)
76 m=2(22 m + 16 m)
76 m=2(38 m)
76 m=76 m