asked 141k views
3 votes
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

1 Answer

4 votes

Answer:

W = 69.5 L = 109.5

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
answered
User Michael Gustus
by
8.3k points
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