Problema Solution

the perimeter of a basketball court is 96 meters and the length is 6 meters longer than twice the width. What are the lenth and width

Answer provided by our tutors

we know that the basketball stadium has a rectangular shape


P = 96 m the perimeter of the rectangular stadium

l = the length of the rectangular stadium

w = the width of the rectangular stadium


P = 2(l + w)


2(l + w) = 96 divide both sides by 2


l + w = 48


the length is 6 meters longer than twice the width


l = 6 + 2w


by solving the system of equations


l + w = 48

l = 6 + 2w


we find


l = 34 m


w = 14 m


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the length is 34 meters.

the width is 14 meters.