Question

The side of a rectangle are in the ratio 3:2. What is the length of each side of the perimeter of the rectangle is 55 cm?

Answer 1

There are two sides of length 16.5 cm each and two of length 11 cm each

Explanation:

The perimeter formula is P = 2W + 2L. We're interested in determining the two different side lengths, given the perimeter. If P = 55 cm, then it follows that P/2 = W + L = 27.5 cm. There is a constant c such that 3c + 2c = 27.5 cm. Then 5c = 27.5 cm, and c = 5.5.

Thus, the length, L, is 3c, or 16.5 cm; the width, W, is 2c, or 11 cm.

Check: Does 2W + 2L = 55 cm? Does 2(11 cm) + 2(16.5 cm) = 55 cm?

Yes.

There are two sides of length 16.5 cm each and two of length 11 cm each.