The area of the square is equal to the area of the rectangle. The width of the rectangle is 2 cm

The area of the square is equal to the area of the rectangle. The width of the rectangle is 2 cm and the length is 8 cm. Find the side of the square.

First, let’s find what the area of ​​a given quadrangle with four right angles is.
In the initial data for this task, it is reported that the width of this rectangular quadrangle is two centimeters, and its length is eight centimeters, therefore, the area of ​​this quadrangle is 2 * 8 = 16 cm ^ 2.
Let us denote by a the length of the side of this square.
Since a square has the same area as a rectangle, we can write the following equation:
a ^ 2 = 16
solving which, we get:
a ^ 2 = 4 ^ 2;
a = 4 cm.
Answer: The side of the square is 4 cm.