A square and a rectangle have the same area. The side of the square is 12cm

A square and a rectangle have the same area. The side of the square is 12cm, the width of the rectangle is 8cm. Find the perimeter of the rectangle?

Let’s find the area of a square if we know the length of its side:

S = 122 = 144 cm2.

Since the rectangle has the same area, and we also know its width, therefore, we can calculate the length of the rectangle:

144: 8 = 18 cm.

The perimeter of a rectangle is calculated as the sum of the lengths of all its sides. We also remember that the sides of the rectangle are equal in pairs. Thus, we can calculate the perimeter of this rectangle:

P = 18 cm + 8 cm + 18 cm + 8 cm = 52 cm.

Answer: The perimeter of the rectangle is 52 cm.