SOLUTION: To swim 800 m in her family's rectangular pool, frans could swim the length 50 times or she could swim the perimeter of the pool 16 times. in square meters, what is the area of the

Algebra ->  Surface-area -> SOLUTION: To swim 800 m in her family's rectangular pool, frans could swim the length 50 times or she could swim the perimeter of the pool 16 times. in square meters, what is the area of the      Log On


   



Question 1061801: To swim 800 m in her family's rectangular pool, frans could swim the length 50 times or she could swim the perimeter of the pool 16 times. in square meters, what is the area of the pool?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The formula for perimeter is:
+P+=+2W+%2B+2L+
----------------------
+800+=+16%2A%28+2W+%2B+2L+%29+
+2W+%2B+2L+=+50+
+W+%2B+L+=+25+
and
+800+=+50L+
+L+=+16+
---------------------
+W+%2B+16+=+25+
+W+=+9+
---------------------
The area is:
+A+=+9%2A16+
+A+=+144+ m^2
---------------------
check:
+P+=+2W+%2B+2L+
+P+=+2%2A9+%2B+2%2A16+
+P+=+18+%2B+32+
+P+=+50+
and
+16%2A50+=+800+
OK