The perimeter of the rectangle is 52 cm, and one side of it is 8 cm. Find the side of a square that

The perimeter of the rectangle is 52 cm, and one side of it is 8 cm. Find the side of a square that has the same area as this rectangle.

Find the sides of the rectangle using the equation. Let us express the unknown side in terms of x and solve the perimeter equation:

x + x + 8 + 8 = 52;

2x + 8 + 8 = 52;

2x + 16 = 52;

2x = 52 – 16;

2x = 36;

x = 36/2;

x = 18 cm – the length of the rectangle.

Let’s find the area of a rectangle equal to the product of its sides:

S = a * b = 8 * 18 = 144 cm².

The area of a square is equal to the square of its side. Let’s find the side of the square, knowing that its area is 144 cm²:

S = a²;

a = √S;

a = √144;

a = 12 cm – side of the square.

Answer: 12 cm