The perimeter of a college basketball court is 96 meters and the length is twice as long as the width. What are the length and width?

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Answer 1 · 2018-02-13T03:26:43

Length #color(purple)( = 32m, Width = 16m#

![http://virtualnerd.com/middle-math/geometry-measurement/rectangle-perimeter-area/rectangle-perimeter]( useruploads.socratic.org )

Given : Perimeter of college ground #P = 96 m#

Perimeter of a rectangle #P = 2l + 2w = 2(l + w)# where l is the length and w is the width

But #l = 2w# given

#:. 2 (2w + w) = 96#

#2*(3w) = 96#

#6w = 96, w = cancel(96)^color(red)16 / cancel6 = 16 m#

#l = 2w = 2 * 16 = 32 m#

The perimeter of a college basketball court is 96 meters and the length is twice as long as the width. What are the length and​ width?