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A new Community Wellness Complex is being built in Hadleyville. The perimeter of the rectangular playing field is 492 yards. The length of the field is 9 yards less than
quadruple the width What are the dimensions of the playing field?
The width is yards
The length is yards

Sagot :

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Answer:

  • width: 51 yards
  • length: 195 yards

Step-by-step explanation:

Let w represent the width of the field in yards. Then 4w-9 is the length. The perimeter is given by the formula ...

  P = 2(L+W)

Substituting given values, we have ...

  492 = 2((4w-9) +w)

  246 = 5w -9 . . . . . . . divide by 2

  255 = 5w . . . . . . . . add 9

  51 = w . . . . . . . . . divide by 5

  4w -9 = 4(51) -9 = 195 . . . . the length of the field

The width is 51 yards.

The length is 195 yards.

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