Problema Solution
the problem states a 37-by16-ft rectangular swimming pool is surrounded by a walkway of uniform width. if the total area of the walway is 168ft^2, how wide is the walkway
Answer provided by our tutors
let x = the width of the walkway, x>0
the area of the swimming pool is: 37*16
the area of the swimming pool together with the walkway is: (37 + 2x)(16 + 2x)
the area of the walkway = the area of the swimming pool together with the walkway - the area of the swimming pool
(37 + 2x)(16 + 2x) - 37*16 = 168
by solving we find:
x = 3/2
x = 1.5 ft
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the width of the walkway is 1.5 feet.