# One side of the rectangle is 4 cm longer than the other. find the length of the sides of a rectangle

August 18, 2021 | education

| **One side of the rectangle is 4 cm longer than the other. find the length of the sides of a rectangle if its perimeter is 22 cm.**

To solve the problem, we will compose and solve a linear equation.

Let us denote by the variable x cm – the length of one of the sides of the rectangle, then, based on the condition that one of the sides of the rectangle is 4 cm longer than the other, we can write the length of the second side as (x + 4) cm.

Let’s remember the formula for finding the perimeter of a rectangle.

P = 2 (a + b);

Substitute and solve a linear equation in one variable.

2 (x + x + 4) = 22;

x + x + 4 = 22: 2;

2x + 4 = 11;

2x = 11 – 4;

2x = 7;

x = 7: 2;

x = 3.5 cm is the length of one of the sides, 3.5 + 4 = 7.5 cm is the length of the second side.

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