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2(w + 3w) = 400
now just find w, and then get 3w
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
oobleck
answered2 years ago
Bosnian
answered2 years ago
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