A square's area is five times larger than the area of a rectangle measuring 125 cm by 64 cm. What is the perimeter of the square?
Explanation
First, calculate the rectangle's area: 125 cm × 64 cm = 8000 cm². The square's area is five times this, so 5 × 8000 = 40000 cm². The side length of the square is the square root of 40000, which is 200 cm. Therefore, the perimeter is 4 × 200 cm = 800 cm.