SOLUTION: The perimeter of a rectangle is 36. The ratio of the lengths of the sides is 2 : 7. What are the lengths of the sides?

Question 300542: The perimeter of a rectangle is 36. The ratio of the lengths of the sides is 2 : 7. What are the lengths of the sides?

Answer by dabanfield(803) (Show Source): You can put this solution on YOUR website!
The perimeter of a rectangle is 36. The ratio of the lengths of the sides is 2 : 7. What are the lengths of the sides?

Let L be the length and W the width of the rectangle. We know that:
1.) W/L = 2/7 or
W = (2/7)*L
2.) 36 = 2*W + 2*L
Substituting (2/7)*L for W in equation 2.) we have:
36 = 2*(2/7)*L + 2*L
36 = (4/7)*L + (14/7)*L
36 = (18/7)*L
Multiply both sides by 7/18:
36*(7/18) = 1*L
14 = L
Calculate W = (2/7)*L
W = (2/7)*14
W = 4
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