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a new neighborhood activity complex is being built in juctioncity. the perimeter of the rectangular playing field is 362 yards. the length of the field is 3 yards less than triple the width. what are the demensions of the playing field?

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Answer:

  • width: 46 yards
  • length: 135 yards

Explanation:

Let w represent the width of the playing field in yards. Then the length is 3w-3. The perimeter is given by ...

P = 2(L+W)

362 = 2((3w-3) +w)

181 = 4w -3

184 = 4w

46 = w

3(46)-3 = 135 . . . length

The playing field is 46 yards wide and 135 yards long.

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