A rectangle with sides 9 cm and a width of 4 cm was cut into two equal parts, of which they made

A rectangle with sides 9 cm and a width of 4 cm was cut into two equal parts, of which they made a square. Find the side of the square.

Formula for the area of a rectangle:

S = a * b, where a and b are the sides of the rectangle.

Let’s calculate the area of this rectangle:

S = 4 * 9 = 36 m2 – the area of the rectangle.

Area of a square formula:

S = a ^ 2, where a is the side of the square.

Let us express the side of the square from this formula:

a = √S.

Find the side of the resulting square:

a = √36 = 6 cm – side of the square.

Answer: the side of the square is 6 cm.