# The perimeter of the rectangle is 26.8 in. One of the sides is 3.4 inches larger than the other

September 13, 2021 | education

| **The perimeter of the rectangle is 26.8 in. One of the sides is 3.4 inches larger than the other. Find the size of the smaller side of the rectangle.**

It is known from the condition that the perimeter of the rectangle is 26.8 dm. One side of the rectangle is 3.4 dm larger than the other. In order to find the smaller side of the rectangle, we will compose and solve a linear equation.

Let us denote by the variable x one of the sides of the rectangle, then the second side can be written as (x + 3,4), we will compose and solve the equation.

The perimeter of the rectangle is:

P = 2 (a + b);

2 (x + x + 3.4) = 26.8;

2x + 3.4 = 13.4;

2x = 13.4 – 3.4;

2x = 10;

x = 5 in. on the smaller side, 5 + 3.4 = 8.4 in. on the large side.

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