SOLUTION: A rectangular pool is 50% longer than it is wide. It is surrounded by a path 1m wide. If the area of the path is 44 square metres, then find the area of the pool in square metres.

Question 1037144: A rectangular pool is 50% longer than it is wide. It is surrounded by a path 1m wide. If the area of the path is 44 square metres, then find the area of the pool in square metres.
How? thanks.
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
w width
L length
L=(3/2)w for 50% greater

Area of just the pool, top surface:
Area of combined pool and path:
JUST the path area around pool:

Working with the path area equation may be easiest to start the algebra steps.

Now is a good place to substitute for L.

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Pool top surface area is 96 square meters.
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