A rectangular athletic field is twice as long as it is wide. If the perimeter of the athletic field is 90 yards, what are its dimensions?

The width of the field, W = 15 yards

The length of the field, L = 30 yards

Explanation:

Given:

Perimeter of the field=90 yards

Perimeter is the length of a line that forms the boundary of a given geometrical shape.

A rectangle has 4 sides.

The perimeter of a rectangle is the sum of the 4 sides of a rectangle.

The perimeter of a rectangle can be computed using the formula:

P=2 (w+l)

Let the width of the rectangular athletic field be,

w=x yd

If the length is twice as long as the width, then:

l=2x yd

Therefore, we can write the perimeter of this field as:

P=2 (x+2x)

P=6x

If the perimeter is 90 yards, then:

90=6x

Solving for x:

x=90/6=15 yd

Therefore, the width of this field is:

w=x=15 yd

And the length is equal to:

l=2 (15) = 30 yd

The width of the field, W = 15 yards

The length of the field, L = 30 yards