The perimeter of the rectangle is 24 cm. The length of one side is 2 cm less than the length of the other.

| June 10, 2021 | education

The perimeter of the rectangle is 24 cm. The length of one side is 2 cm less than the length of the other. Find the area of the rectangle.

The perimeter of a rectangle is the sum of the length and width of the rectangle multiplied by two. The area of ​​a rectangle is equal to the product of the length and width of the rectangle. We will solve the problem using an equation with one unknown.

1. One side of the rectangle is x centimeters.

2. The other side of the rectangle is (x – 2) centimeters.

3. Let’s compose and solve the equation.

(x + (x – 2)) * 2 = 24;

(x + x – 2) * 2 = 24;

(2x – 2) * 2 = 24;

4x – 4 = 24;

4x = 24 + 4;

4x = 28;

x = 28/4 = 7;

x = 7;

4. One side is equal to x = 7 cm.

5. The other side is equal to x – 2 = 7 – 2 = 5 cm.

6. Find the area of ​​the rectangle.

7 * 5 = 35 cm2.

Answer: The area of ​​a rectangle is 35 square centimeters.



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.