Question

A rectangular field is five times as long as it is wide. If the perimeter of the field is 240 ​yards, what are the​ field's dimensions?

Answer 1

Width = 20 yards , length = 100 yards.

Explanation:

Let the field be x yards wide then it's length is 5x yards.

so x + x + 5x + 5x = 240

12x = 240

x = 20.

width = 20 , length = 100 yards.

Answer 2

Width = 20yards

Length = 100 yards

Explanation:

The field is 5 times as long as it's widths...

Let's represent the width be with "w"

The length will then become *5 * w*

The perimeter of the Rectangular field then becomes:

Perimeter (P) = 2 ( w + l)

P = 2 ( w + 5w)

But P = 240

240 = 2w + 10w

240 = 12w

Divide through by 12

w = 240/12

w = 20 yards

That is ,the width = 20yards

The length is 5 times the width

Length = 5*w

Length = 5*20

Length = 100 yards

Width = 20yards

Length = 100 yards