SOLUTION: A rectangular pool of 20 m wide and 60 m long is surrounded by a walkway of uniform width. If the total area of the walkway is 516 square meters , how wide, in meters, is the walk
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Question 353562: A rectangular pool of 20 m wide and 60 m long is surrounded by a walkway of uniform width. If the total area of the walkway is 516 square meters , how wide, in meters, is the walkway?
a. 43 m b. 3 m c. 3 m d. 3.5 m
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*NOte: consider let x be the width of the walkway. Then the dimensions of the rectangle formed by the pool and the walkway are (20 + 2x) and (60 + 2x)
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Area of rectangle formed by the pool and the walkway
1200 m^2 + 516 m^2 = 1716m^2
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(20 + 2x)(60 + 2x) = 1716m^2
1200 + 160x + 4x^2 = 1716m^2
x^2 + 40x - 129 = 0
(x + 43)(x-3) = 0
x = 3m
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check your answer
26m*66m = 1716m^2
