207k views
23 votes
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

User Rob White
by
8.1k points

1 Answer

10 votes

Answer:

  • width: 51 yards
  • length: 195 yards

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.

User Ayjay
by
8.5k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories