The length of a new rectangular playing field is 4 yards longer than triple the width means:
L = 3 W + 4
P = 2 ( L + W )
424 = 2 ( 3 W + 4 + W )
424 = 2 ( 4 W + 4 )
Divide both sides by 2
212 = 4 W + 4
Subtract 4 to both sides
208 = 4 W
Divide both sides by 4
52 = W
W = 52 yd
L = 3 W + 4
L = 3 ∙ 52 + 4
L = 156 + 4
L = 160 yd
The length of a new rectangular playing field is 4 yards longer than triple the width. If the perimeter of the rectangular playing field is 424 yards, what are its dimensions?
3 answers
273 yards
88 yard
1 answer