Find the lengths of the sides of a rectangle if the length of one side is two thirds

Find the lengths of the sides of a rectangle if the length of one side is two thirds from the other side and the perimeter of the rectangle is 30 cm.

1. Let’s say one side of the rectangle is x centimeters.

2. Its other side is equal to x * 2/3 = 2 / 3x centimeters.

3. Using the formula for calculating the perimeter p = (a + b) * 2, compose equations and find the length of one side.

(x + 2 / 3x) * 2 = 30;

x + 2 / 3x = 30/2 = 15;

1 2 / 3x = 15;

5 / 3x = 15;

x = 15/5/3 = 15 * 3/5 = 9 centimeters.

4. Find the other side.

x * 2/3 = 9 * 2/3 = 6 centimeters.

Answer: The sides of the rectangle are respectively 9 and 6 centimeters.