What are the sides of the rectangle?

Question

The width of a rectangle is 1/2 of its length. What are the sides of the rectangle if its perimeter is 63 in.?

Answer 1

Let L = the length of the rectangle

Let (1/2)L = the width of the rectangle

2L + 2w = P

2L + 2(1/2)L = 63

2L + L = 63

3L = 63

L = 21 inches

(1/2)L = (1/2)21 = 10 1/2 inches