The sides of the rectangle are 16 cm and 12 cm. Find the side of the square that has the same perimeter

The sides of the rectangle are 16 cm and 12 cm. Find the side of the square that has the same perimeter as the given rectangle.

The perimeter of a rectangle is equal to the sum of all its sides. Since the opposite sides of the rectangle are equal, then P = 2 * a + 2 * b. Substituting the known values of the sides 16 cm and 12 cm, we get the value of the perimeter: P = 2 * 16 cm + 2 * 12 cm = 32 cm + 24 cm = 56 cm. Since the perimeter of the square is equal to the sum of all its sides P = a + b + c + d. Since all sides of the square are equal, then P = 4 * a. Substituting the known values of the perimeter, we find the value of the side of the square: a = P: 4, a = 56 cm: 4 = 14 cm.
Answer: the side of the square is a = 14 cm.