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

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

Step-by-step 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.

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