The length of a rectangular sports field is three times its width if the perimeter of the field is 880 meters what is the area of the sports field

Let us assume the width of the rectangular sports field = x meters

Then

The length of the rectangular sports field is = 3x

Perimeter of the rectangular sports field = 880 meters

Then

Perimeter of the rectangular field = 2 (Length + Width)

880 = 2 (x + 3x)

880 = 2 * 4x

880 = 8x

x = 880/8

= 110 meters

So

Width of the rectangular field = 110 meters

Length of the rectangular field = 3x

= 3 * 110 meters

= 330 meters

Now

Area of the rectangular field = Length * Width

= 110 * 330 square meters

= 36300 square meters.

So the area of the rectangular field comes out to be equal to 36300 square meters.