# SOLUTION: the area of a swimming pool is 200 square feet. the lengthof the pool is 10 feet longer than the width.what is the width of the swimming pool?

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 Question 622959: the area of a swimming pool is 200 square feet. the lengthof the pool is 10 feet longer than the width.what is the width of the swimming pool? Answer by nerdybill(7003)   (Show Source): You can put this solution on YOUR website!the area of a swimming pool is 200 square feet. the lengthof the pool is 10 feet longer than the width.what is the width of the swimming pool? . Let w = width of pool then w+10 = length of pool . w(w+10) = 200 w^2 + 10w = 200 w^2 + 10w - 200 = 0 (w+20)(w-10) = 0 w = {-20, 10} you can throw out the negative solution (extraneous) leaving: w = 10 feet