The area of a swimming pool is 200 square feet. The length of the pool is 10 feet longer than the width. What is the width of the swimming pool?

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Answer 1 · 2016-08-17T00:57:18

The width measures #10# feet.

Let the length be #x# and the width be #x - 10#.

Since the pool is rectangular:

#A = L xx W#

#200 = x(x - 10)#

#200 = x^2 - 10x#

#0 = x^2 - 10x - 200#

#0 = (x - 20)(x + 10)#

#x = 20 and -10#

A negative answer is not possible, so the width of the pool is #(20 - 10) = 10# feet.

Hopefully this helps!