smallcrystalslpxs

2023-03-25

The perimeter of a basketball court is 108 meters and the length is 6 meters longer than twice the width. What are the length and width?

bootjietz0r

Beginner2023-03-26Added 7 answers

The perimeter of a basketball court, which is shaped like a rectangle, is

$l+w+l+w=P$

or

$2(l+w)=P$

plug in x for the width

w = x

The width is 6 times longer than it is wide.

l = 2x + 6

P = 108 meters

$2(2x+6+x)=P$

$2(3x+6)=108$

$6x+12=108$

$6x=96$

$x=16$ the width is 16 meters

$l=2x+6$

$l=2\left(16\right)+6$

$l=32+6$

$l=38$ the length is 38 meters

$l+w+l+w=P$

or

$2(l+w)=P$

plug in x for the width

w = x

The width is 6 times longer than it is wide.

l = 2x + 6

P = 108 meters

$2(2x+6+x)=P$

$2(3x+6)=108$

$6x+12=108$

$6x=96$

$x=16$ the width is 16 meters

$l=2x+6$

$l=2\left(16\right)+6$

$l=32+6$

$l=38$ the length is 38 meters

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