Problema Solution
A rectangle has an area of 31.5 square meters. If the length is 2 more than twice the width, find its width in meters.
Answer provided by our tutors
let
l = the length of the rectangle, l>0
w = the width of the rectangle, w>0
the rectangle has an area of 31.5 square meters
l*w = 31.5
the length is 2 more than twice the width
l = 2 + 2w
we plug l = 2 + 2w into l*w = 31.5
(2 + 2w)*w = 31.5
2w + 2w^2 = 31.5
2w^2 + 2w - 31.5 = 0 divide both sides by 2
w^2 + w - 15.75 = 0
by solving we find
w = 3.5 m
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the width is 3.5 meters.