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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?

Respuesta :

Answer:16

Step-by-step explanation:

Answer:

The length is 12 feet and width is 6 feet.

Step-by-step 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 [tex]2w+4w=36[/tex]

Solving for w:

[tex]6w=36[/tex]

w = 6 feet

And l = [tex]2\times6=12[/tex]

l = 12 feet

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

We can check the perimeter as:

[tex]2(12+6)=36[/tex]

[tex]2(18)=36[/tex]

[tex]36=36[/tex]

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