Find the lengths of the sides of the rectangle if they are proportional to the numbers 2, 3 and 4

Find the lengths of the sides of the rectangle if they are proportional to the numbers 2, 3 and 4, and the perimeter of the triangle is 36 cm.

The solution of the problem:

1. Let’s denote by x one part.

2. The first side of the triangle will be equal to

2 * x = 2x

3. Find out what the second side is equal to

3 * x = 3x

4. Let’s define the third party

4 * x = 4x

5. Let’s compose and solve the equation.

2x + 3x + 4x = 36;

9x = 36;

x = 36/9;

x = 4.

6. One part will be equal to x = 4.

7. What is the first side of the triangle?

2 * 4 = 8 cm.

8. How long is the second side of the triangle?

3 * 4 = 12 cm.

9. What is the third side of the triangle?

4 * 4 = 16 cm.

Answer: the sides of the triangle are 8 cm, 12 cm and 16 cm.