Respuesta :
width = x
length = 2x
96 = x + x + 2x + 2x
96 = 6x
x = 16
2x is simply 16 × 2.
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 -
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