# One side of the rectangle is 2 cm longer than the other. The total length of these two sides

**One side of the rectangle is 2 cm longer than the other. The total length of these two sides is 12 cm. Find the length of each side of this rectangle.**

Let’s denote the length of the shorter side of this rectangle through x.

According to the condition of the problem, the large side of the rectangle is 2 cm longer than the smaller side of this rectangle, therefore, the large side of the rectangle is x + 2.

It is also known that the total length of two sides of a given rectangle is 12 cm, therefore, we can draw up the following equation:

x + x + 2 = 12.

We solve the resulting equation:

2 * x + 2 = 12;

2 * (x + 1) = 12;

x + 1 = 12/2;

x + 1 = 6;

x = 6 – 1;

x = 5 cm.

Knowing the length of the smaller side of this rectangle, we find the larger side of the rectangle:

x + 2 = 5 + 2 = 7 cm.

Answer: the lengths of the sides of this rectangle are 5 cm and 7 cm.