The area of a square with a side of 8 cm is twice the area of a rectangle. Calculate the perimeter

The area of a square with a side of 8 cm is twice the area of a rectangle. Calculate the perimeter of a rectangle if its length is 16cm.

Find the area of a square with a side of 8 cm, using the formula:
S = a² = 8 * 8 = 64 cm².

S of the rectangle is half the size, which is:
64: 2 = 32 cm². And length = 16 cm.

Find the width of the second shape by expressing it from the formula:
S = a * b, therefore, b = S: a = 64: 16 = 4 cm.

The perimeter of a rectangle whose opposite sides are equal corresponds to the formula:
P = 2a + 2b = 2 * 16 + 2 * 4 = 32 + 8 = 40 cm.