SOLUTION: A rectangular pool 60meters bt 40 meters is to be ordered on all sides by a patio of constant width.The area covered by the patio is equal to the are covered by the pool.Find the

Algebra ->  Volume -> SOLUTION: A rectangular pool 60meters bt 40 meters is to be ordered on all sides by a patio of constant width.The area covered by the patio is equal to the are covered by the pool.Find the      Log On


   

Question 1150910: A rectangular pool 60meters bt 40 meters is to be ordered on all sides by a patio of constant width.The area covered by the patio is equal to the are covered by the pool.Find the width of the patio?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
w, the width of the patio border
Pool "area", 40%2A60
Border area, %2840%2B2w%29%2860%2B2w%29-40%2A60

The pool area is given as equal to the border area.
40%2A60=%2840%2B2w%29%2860%2B2w%29-40%2A60=40%2A60
.
.
50w%2Bw%5E2=600
w%28w%2B50%29=600------you could try to see if whole numbers will work.


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10 & 60 will work.
highlight%28w=10%29