Problema Solution
The perimeter of a basketball court is 96 meter and the lenght is 6 meters longer than twice the width. What are the lenght and width?
Answer provided by our tutors
let
l = the length
w = the width
P = 96 m the perimeter
the length is 6 meters longer than twice the width
l = 6 + 2w
since the perimeter P = 2(l + w) we have
2(l + w) = 96 divide both sides by 2
l + w = 48
by solving the system of equations
l = 6 + 2w
l + w = 48
we find
l = 34 m
w = 14 m
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the length is 34 meters and the width is 14 meters.