SOLUTION: Swimming pool design. An architect has designed a motel pool within a rectangular area that is fenced on three sides (the 4th side is framed by a building). If she uses 60 yards of

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Question 47624: Swimming pool design. An architect has designed a motel pool within a rectangular area that is fenced on three sides (the 4th side is framed by a building). If she uses 60 yards of fencing to enclose an area of 352 square yards, then what are the dimensions of the two lengths and one width? Assume L is greater than W.
Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
There are two lengths and one width:
2l+%2B+w+=+60
Area:
lw+=+352
Combine using w+=+60+-+2l:
l%2860+-+2l%29+=+352
-2l%5E2+%2B+60l+-+352+=+0
l%5E2+-+30l+%2B+176+=+0
%28l+-+8%29%28l+-+22%29+=+0
l = 8 or l = 22
When you think, the length is longer than the width, so the length can not be eight yards.
l = 22
plug:
2l+%2B+w+=+60
44+%2B+w+=+60
w+=+16
22 yards x 16 yards