The width of the field, W= 15 yards
The length of the field, L= 30 yards
<u>Explanation</u>:
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
