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(7384) About Me  (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