SOLUTION: A rectangular swimming pool is 3 times as long as it is wide. It is surrounded by a cement walk 1 ft wide. The area of the walk is 36 ft2. Find the dimensions of the pool.
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Question 1167764: A rectangular swimming pool is 3 times as long as it is wide. It is surrounded by a cement walk 1 ft wide. The area of the walk is 36 ft2. Find the dimensions of the pool. Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website! Draw this
pool is x feet wide and 3x feet long
the width of pool and walk together is x+2 feet and the length is 3x+2 feet.
That area is 3x^2+8x+4 ft^2
The area of the pool is 3x^2 ft^2
the area of the walk is the difference or 8x+4 ft^2=36 ft^2
Therefore, x=4 feet.
So the pool is 4 feet wide and 12 feet long or 48 ft^2
pool and walk are 6 feet wide and 14 feet long or 84 ft^2
The difference between those two must be the area of the walk, which is 36 ft^2
The answer is 4 x 12 units feet for the pool.
