SOLUTION: A rectangular pond is 8 ft longer than its width. A walkway 2 ft wide is around the pond. The area covered by the pond and walkway is 160ft greater than the area covered by the p

Algebra ->  Surface-area -> SOLUTION: A rectangular pond is 8 ft longer than its width. A walkway 2 ft wide is around the pond. The area covered by the pond and walkway is 160ft greater than the area covered by the p      Log On


   



Question 20554: A rectangular pond is 8 ft longer than its width. A walkway 2 ft wide is around the pond. The area covered by the pond and walkway is 160ft greater than the area covered by the pond. What are the dimensions of the pond.
Found 2 solutions by Paul, PRIYA123456:
Answer by Paul(988) About Me  (Show Source):
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16+2x+2x=160+x+x
16+4x=160+2x
4x=144+2x
4x-2x=144+2x-2x
2x=144
2x%2F2=144%2F2
x=72. 72+8=80 Hence the dimensions are 72ft and 80ft.

Answer by PRIYA123456(2) About Me  (Show Source):
You can put this solution on YOUR website!
Pond --> b * [b+8]
Pond + walkway --> (b+4) * (b+12)
now , [ (b+4) * (b+12) - b* (b+8) ] = 160 ---> b = 14
so Pond = 14 * 22