Question

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?

Answer 1

Answer:

• width: 46 yards
• length: 135 yards

Step-by-step 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.