<PRE><B>Question 949568</B>
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</PRE>