Question

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?

Answer 1

The length is 38 meters and the width is 16 meters.

Explanation:

The perimeter of a rectangle, the shape of a basketball court, is
`l + w + l + w = P`
or
`2(l + w)= P`

plug in x for the width
w = x
the length is 6 more than two times the width
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(16) + 6`
`l = 32 + 6`
`l = 38` the length is 38 meters