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.