Question

The equation P= 21 + 2w models the perimeter, P, of a rectangle with a length of / units and a width of w units.

A rectangle has perimeter of 60 units and a length that is double its width.
What is the width in units
of the rectanale?

Answer 1

With = 10 units Length = 20

Answer 2

width = 10 units and length = 20 units

Explanation:

Let the width be w

so Length will be 2w

using the rectangle formula:

`\sf Perimeter \ of \ rectangle= 2L + 2W`

`\sf 60= 2(2w) + 2w`

`\sf 60= 4w + 2w`

`\sf 60= 6w`

`\sf w = 10 \ units`

Find length:

`\sf length = 2w`

`\sf length = 2(10)`

`\sf length = 20 \ units`