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?