Question

The perimeter of a college basketball court is 78 meters and the length is twice as long as the width. What are the length and​ width?

Answer 1

Length = `26` metres
Width = `13` metres

Explanation:

To Make things easier, Let's assume the width of the basketball court to be `x` metres.

Now, The Question says, The Length is twice as long as the width.

So, The Length of the basketball court = `2x` metres.

Now, We Know,

`"Perimeter of a Rectangular Field" = 2 ("Length" + "Width")`

So, According to the question,

`color(white)(xxx) 2(2x + x) = 78`

`rArr 2 xx 3x = 78`

`rArr 6x = 78`

`rArr x = 13`

So, The Width of the Basketball Court is `13` metres.

So, The Length of the Basketball Court is `2 xx 13` metres = `26` metres.

Hope this helps.