ANSWER
96 yd
EXPLANATION
Let the width of the rectangle be w, then, the length of the rectangle will be:
[tex]l = 5w[/tex]
The area of a rectangle is calculated using the formula:
[tex]Area=l \times w[/tex]
[tex]Area=5w \times w[/tex]
[tex]Area=5 {w}^{2} [/tex]
It was given that, the area of the rectangle is 320yd²
[tex]320=5 {w}^{2} [/tex]
Divide both sides by 5.
[tex]64 = {w}^{2} [/tex]
Take square root of both sides to get:
[tex]w = 8yd[/tex]
This means the length is
[tex]l = 5 \times 8 = 40yd[/tex]
The perimeter of a rectangle is given by:
P=2(w+l)
We plug in the values to get:
[tex]P=2(40 + 8) = 2 \times 48 = 96yd[/tex]
The perimeter is 96yd
