A rectangular athletic field is twice as long as it is wide. If the perimeter of the athletic field is 96 ​yards, what are its​ dimensions?

What is the​ width? ______
What is the​ length? ______

Respuesta :

width = x
length = 2x

96 = x + x + 2x + 2x
96 = 6x
x = 16

2x is simply 16 × 2.

The width of athletic field is 16 yards and the length of rectangular field is 32 yards.

How to calculate the length and width of a rectangular field using the given perimeter ?

Given information that a rectangular athletic field is twice as long as it is wide.

Let the width of the athletic field is x yards.

Thus the length of the athletic field is 2x yards.

The formula of perimeter of rectangular field is 2 * (length + width).

The perimeter of the athletic field is 96 yards .

∴ 2 * (length + width) = 96

⇒ (2x + x) = 48

⇒  3x = 48

∴  x = 16 yards

Length = 2x = 2*16 = 32 yards

Thus the width of the athletic field is 16 yards and the length of the field is 32 yards .

To learn more about perimeter of figures, refer -

https://brainly.com/question/2186006

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