Question 777977: A particular rectangular swimming pool is twice as long as it is wide. There is a concrete walkway around the perimeter of the pool. The walkway is a constant 2 feet wide. The walkway has an area of 100 square feet. What are the dimensions of the pool?
Answer by htmentor(1343)   (Show Source):
You can put this solution on YOUR website! Let L = the length, W = the width of the pool
The walkway can be divided into 4 rectangles. On the long sides, the dimension of the rectangles are 2 x L+4, and on the short sides the dimensions are 2 x W.
Since there are two each on the long and short sides, the total area A = 100 = 4(L+4) + 4W
And L = 2W so we have 4(2W+4) + 4W = 12W + 16 = 100 -> W = 7
So the width is 7 ft, the length is 14 ft.
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