The length of the rectangle is 9 cm and the width is 4 cm. Find the perimeter of the square, the area of which

The length of the rectangle is 9 cm and the width is 4 cm. Find the perimeter of the square, the area of which is equal to the area of the rectangle.

A rectangle is a quadrangle in which all corners are straight, opposite sides are parallel and equal to each other.

A square is a rectangle in which all sides are equal.

The area of ​​a rectangle is equal to the product of its length and width:

S = a * b;

S = 9 * 4 = 36 cm2.

Since all sides are equal in a square, its area is:

S = a ^ 2.

To calculate the side length of a square with an area of ​​36 cm2, you need:

a = √S;

a = √36 = 6 cm.

The perimeter of a square is the sum of the lengths of its sides:

P = AB + BC + CD + AD;

P = 6 + 6 + 6 + 6 = 24 cm.

Answer: the perimeter of the square is 24 cm.