Question

The length of a rectangle is five times its width.

Answer 1

ANSWER

96 yd

EXPLANATION

Let the width of the rectangle be w, then, the length of the rectangle will be:

$l = 5w$

The area of a rectangle is calculated using the formula:

$Area=l \times w$

$Area=5w \times w$

$Area=5 {w}^{2}$

It was given that, the area of the rectangle is 320yd²

$320=5 {w}^{2}$

Divide both sides by 5.

$64 = {w}^{2}$

Take square root of both sides to get:

$w = 8yd$

This means the length is

$l = 5 \times 8 = 40yd$

The perimeter of a rectangle is given by:

P=2(w+l)

We plug in the values to get:

$P=2(40 + 8) = 2 \times 48 = 96yd$

The perimeter is 96yd