Problema Solution
a rectangular-shaped pool 20 feet by 30 feet has a sidewalk of uniform width around the pool. the area of the sidewalk is 336 square feet. find the width of the sidewalk
Answer provided by our tutors
let 'w' represent the width of the sidewalk, w>0
the area of the pool together with the sidewalk is: (20 + 2w)(30 + 2w)
the area of the pool (without the sidewalk) is: 20*30
(20 + 2w)(30 + 2w) - 20*30 = 336
by solving we find
w = 3 ft
click here to see the step by step solution of the equation
the width of the sidewalk is 3 feet.