A rectangular field has a perimeter of 400 yards. The length of the field is three times the width. What is the length of the field? What is the width of the field
2(w + 3w) = 400
now just find w, and then get 3w
L = length
W = width
P = perimeter
The length of the field is three times the width means:
L = 3 W
P = 2 L + 2 W
P = 2 ( W + L ) = 400 yd
Replace L by 3 W in this formula.
2 ( W + 3 W ) = 400
2 ∙ 4 W = 400
8 W = 400
W = 400 / 8 = 50 yd
L = 3 W = 3 ∙ 50 = 150 yd
Check result:
P = 2 L + 2 W = 2 ∙ 150 + 2 ∙ 50 = 300 + 100 = 400 yd