The length of the rectangle is 3 cm longer than the width. Its perimeter is 22 cm. Find the length, width of the rectangle.

Let’s denote the length of the rectangle as x, the width of the rectangle as y.

Since the length is 3 cm more than the width, we will compose the first equation of the system of equations:

x – y = 3.

The perimeter of the triangle is 22 cm, we compose the second equation of the system of equations:

2x + 2y = 22;

Divide both sides of the second equation by 2:

x + y = 11;

Add the transformed second equation and the first equation:

x + y + (x – y) = 11 + 3;

2x = 14;

x = 7;

Find y by substituting x in the first equation of the system:

7 – y = 3;

y = 7 – 3;

y = 4.

Answer: the length of the rectangle is 7 cm, the width of the rectangle is 4 cm.