Problema Solution
a garden measuring 12 meters by 16 is to have a pedestrian pathway installed all around it, increasing the total area to 285 square meters. what will be the width of the pathway?
Answer provided by our tutors
let
x = the width of the pathway, x>0
l = 16 m the length of the garden
w = 12 m the width of the garden
the area of the garden A = l*w
the total area of the garden together with the pathway is (l + 2x)(w + 2x)
(l + 2x)(w + 2x) = 285
(16 + 2x)(12 + 2x) = 285
by solving the equation we find
x = 1.5 m
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the width of the pathway will be 1.5 meters.