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A new Youth Sports Center Youth is being built in Pagosa Springs. The perimeter of the rectangular playing field is 358 yards. The length of the field is 99 yards less than triple the width. What are the dimensions of the playing​ field?
the width is ( ) yards
the length is ( ) yards

Respuesta :

Answer:

W = 69.5  L = 109.5

Step-by-step explanation:

L = 3W-99

Perimeter = 2L + 2W

358 = 2(3W-99) + 2W

358 = 6W-198 + 2W

358 = 8W-198

556 = 8W

69.5 = W

  • 358 = 2L+2W
  • 358 = 2L + 2(69.5)
  • 358 = 2L + 139
  • 219 = 2L
  • L = 109.5

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