8/13/2014 A swimming pool, rectangular in shape, is surrounded by a walkway of uniform width, say x. If the outer dimensions of the walkway are 16m by 10m and the area of the pool alone is 112m2, find x.

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8/13/2014 Solution. The Outer dimensions of layout: 16m X 10m.

Since the walkway has a uniform width of x, the dimensions of the pool: (16 – 2x) X (10 – 2x)

Given: (16 – 2x)(10 – 2x) = 112

Solving the quadratic equation, x = 1m.