SOLUTION: The length of a rectangular swimming pool is twice the size of the Width decreased by fifty. Find the dimensions of the pool if its perimeter is 320 yards.

Algebra ->  Rectangles -> SOLUTION: The length of a rectangular swimming pool is twice the size of the Width decreased by fifty. Find the dimensions of the pool if its perimeter is 320 yards.       Log On


   



Question 1065866: The length of a rectangular swimming pool is twice the size of the Width decreased by fifty. Find the dimensions of the pool if its perimeter is 320 yards.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+L+=+2W+-+50+
+P+=+320+
The formula for perimeter is:
+P+=+2L+%2B+2W+
+320+=+2%2A%28+2W+-+50+%29+%2B+2W+
+320+=+4W+-+100+%2B+2W+
+6W+=+420+
+W+=+70+
and
+L+=+2%2A70+-+50+
+L+=+140+-+50+
+L+=+90+
The pool is 70 yds x 90 yds
----------------------------
check:
+P+=+2L+%2B+2W+
+P+=+2%2A90+%2B+2%2A70+
+P+=+180+%2B+140+
+P+=+320+ yds
OK