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A new Sports complex is being built in Madison . The perimeter of the rectangular playing field is 466 yards. The length of the field is 3 yards less than triple the width. What are the dimensions of the playing​ field?

Respuesta :

  • Answer:

w = 57.5 yards

l = 169.5 yards

  • Step-by-step explanation:

P = 2w + 2l

466 = 2w + 2l

l = 3w - 3

466 = 2w + 2(3w - 3)

466 = 2w + 6w - 6

466 - 6 = 8w

8w = 460

w = 460 : 8

w = 57.5 yards

l = 3w - 3

= 3×57.5 - 3

= 169.5

l = 169.5 yards

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