The perimeter of a square is 2 times the perimeter of a rectangle. What is the length of the side of this square

| August 23, 2021 | education

The perimeter of a square is 2 times the perimeter of a rectangle. What is the length of the side of this square if the lengths of the sides of the rectangle are 4 cm and 2 cm.

Find the perimeter of the rectangle.
According to the condition of the problem, the lengths of the sides of this rectangle are 4 cm and 2 cm, therefore, the perimeter of this rectangle is:
2 * (4 + 2) = 2 * 6 = 12 cm.
Find the perimeter of the square.
According to the condition of the problem, the perimeter of the square is 2 times larger than the perimeter of the rectangle, therefore, the perimeter of this square is:
2 * 12 = 24 cm.
Find the side of the square.
Let us denote it by x.
Since the perimeter of the square is equal to the four sides of the square, we can write the following equation:
4 * x = 24.
We solve the resulting equation:
x = 24/4:
x = 6 cm.
Answer: the side of the square is 6 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.