# In a rectangle, one side is 3 cm larger than the other. The perimeter of the rectangle is 26 cm. Find the sides of the rectangle.

March 27, 2021 | education

| 1. Let’s take the length of the first side of the rectangle as x cm.

2. Then, in order to record the length of its second side, we need to increase the first side by 3, that is, add 3 cm to the length of the first side. Then we get that the length of the second side is (x + 3) cm.

3. Since we know that the perimeter is 26 cm, we can write down the equation and find out what the first side of the rectangle is.

26 = x + x + (x + 3) + (x + 3);

26 = x + x + x + 3 + x + 3;

26 = 4x + 6;

26 – 6 = 4x;

20 = 4x;

x = 20/4;

x = 5 cm.

4. Find out the length of the second side.

5 + 3 = 8 cm.

Answer: The length of the first side of the rectangle is 5 cm, the second 8 cm.

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