Question

A rectangular athletic field is twice as long as it is wide. If the perimeter of the athletic field is ​yards, what are its​ dimensions 76

Answer 1

The length is 25.3 yards, while the width is 12.7 yards.

Explanation:

Perimeter of a rectangle, P = 2(l + w)

where l is its length and w the width.

Given that:

perimeter = 76 yards

It is twice as long as its wide, length = 2w

width = w

Then,

P = 2(l + w)

76 = 2(2w + w)

divide through by 2, to have;

38 = 2w + w

38 = 3w

⇒ w = 12.67 yards

Thus,

length = 2w = 2 x 12.67 = 25.34 yards

The length is 25.3 yards, while the width is 12.7 yards.