The sum of all sides of the rectangle is 48 cm. Its length is 4 cm more than its width. Find the sides of the rectangle.

| May 11, 2021 | education

To solve this problem, let’s compose an equation with one unknown.

Let’s denote by x the width of this rectangle.

Let us express the length of this rectangle in terms of x.

According to the condition of the problem, the length of this rectangle is 4 cm greater than its width, therefore, the length of this rectangle is x + 4 cm.

According to the problem, the sum of the lengths of all sides of the rectangle is 48 cm.

Since in any rectangle the lengths of the opposite sides are equal, we can write the following equation:

x + x + 4 + x + x + 4 = 48.

We solve the resulting equation:

4x + 8 = 48;

4x = 48 – 8;

4x = 40;

x = 40/4;

x = 10 cm.

Knowing the width of this rectangle, we find its length:

x + 4 = 10 + 4 = 14 cm.

Answer: the lengths of the sides of this rectangle are 10 cm and 14 cm.



One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.