A new outdoor rec center is being built in Madison. The perimeter of the rectangular playing field is 446 yards. the length of the field is 5 yards less than triple the width. Whatre the dimensions of the playing field?

Formula for perimeter of triangle: P=2width+2length

width=x

length=y

446=2x+2y

y+5=3x | subtract 5

y=3x-5

446=2x+2 (3x-5)

446=2x+6x-10

446=8x-10 | add 10

456=8x | divide / by / 8

x=57

y=3x-5=3*57-5=166

Length=166 yards

width=57 yards