saifsaeed1992saif
saifsaeed1992saif saifsaeed1992saif
  • 01-07-2016
  • Mathematics
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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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meerkat18
meerkat18 meerkat18
  • 09-07-2016
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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