Question

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

Answer 1

• 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.