The perimeter of a rectangle is 68 cm. Its length is 24 cm. The side of the square is equal to the width

The perimeter of a rectangle is 68 cm. Its length is 24 cm. The side of the square is equal to the width of the rectangle. Find the perimeter and area of the square.

The solution of the problem.

1. Let’s denote the width of the rectangle through x.

2. Let’s compose and solve the equation.

(24 + x) * 2 = 68;

24 + x = 68/2;

24 + x = 34;

x = 34 – 24;

x = 10.

3. The width of the rectangle is x = 10 cm.

4. The side of the square is equal to the width of the rectangle and is equal to 10 cm.

5. What is the perimeter of the square?

10 * 4 = 40 cm.

6. What is the area of a square?

10 * 10 = 100 sq. cm.

Answer: the perimeter of the square is 40 cm, the area of the square is 100 square meters. cm.