SOLUTION: a rectangular pool measuring 10 meters by 20 meters is surrounded by a path of uniform width. If the area of the pool and path combined is 600 square meters, what is the width of t

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Question 915860: a rectangular pool measuring 10 meters by 20 meters is surrounded by a path of uniform width. If the area of the pool and path combined is 600 square meters, what is the width of the path?
Answer by josgarithmetic(39614) About Me  (Show Source):
You can put this solution on YOUR website!
w, width of path

600=%2810%2B2w%29%2820%2B2w%29
The left member is given; the right member can be obtained from making a rectangular drawing and labeling all values or numeric parts.

Divide both side by 4, first, to simplify.
%285%2Bw%29%2810%2Bw%29=150
w%5E2%2B15w%2B50=150
w%5E2%2B15w-100=0
highlight_green%28%28w-5%29%28w%2B20%29=0%29