A rectangular athletic field is twice as long as it is wide. If the perimeter of the athletic field is 270 yards, what are its dimensions?
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The perimeter (P) of any rectangular figure is calculated through the formula, P = 2L + 2W where L and W are length and width, respectively. With the condition that length should be twice the width, it may be expressed as L = 2W. Substituting the given values, 270 yards = 2(2W) + 2W Solving for W gives W = 45. From this, L is equal to 90. Thus, the dimensions are W = 45 yards and L = 90 yards.
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