Problema Solution
A man built a walk of uniform width around a rectangular pool. If the area of the walk is 105 square feet and the dimensions of the pool are 17 feet by 15 feet, how wide is the walk?
Answer provided by our tutors
let
w = represents the width of the walk around the pool, w>0
the area of the pool together with the walking part is: (17 + 2w)(15 + 2w)
the area of the pool without the walking part is: 17*15
the difference between the above areas gives the area of the walk:
(17 + 2w)(15 + 2w) - 17*15 = 105
by solving we find
w = 1.5 ft
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the walk is 1.5 feet wide.