The rectangle is 6 cm long and 24 cm2 in area. Find the area of a square that has the same perimeter as this rectangle?

1. Find the width of the rectangle. Since the area is the product of the length of the rectangle by its width, we divide the area by the length:

24: 6 = 4 (cm).

2. Find the perimeter of the rectangle. This is the doubled sum of its sides:

(6 + 4) * 2 = 10 * 2 = 20 (cm).

3. Since all sides of a square are equal, then its perimeter is equal to the side multiplied by 4. Then divide the perimeter by 4 to find the side:

20: 4 = 5 (cm).

4. Find the area of a square by squaring its side:

5 ^ 2 = 25 (cm).