Question

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

Answer 1

2(w + 3w) = 400
now just find w, and then get 3w

Answer 2

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