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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?

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Luanaid
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


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