Question

The length of a rectangle is twice the width.An equation that models the perimeter of the rectangle is 2w+4w=36 where w is the width of the rectangle in ft.What are the length and width of the rectangle?

Answer 1

Answer:16

Explanation:

Answer 2

The length is 12 feet and width is 6 feet.

Explanation:

Let length be = l

Let width be = w

As given that the length of a rectangle is twice the width. This means l=2w

The equation that models the perimeter of the rectangle is
`2w+4w=36`

Solving for w:

`6w=36`

w = 6 feet

And l =
`2*6=12`

l = 12 feet

Hence, the length is 12 feet and width is 6 feet.

We can check the perimeter as:

`2(12+6)=36`

`2(18)=36`

`36=36`