What is the largest perimeter of a rectangle equal to a square with a side of 10 cm.

1) Since the rectangle and the square are equal in size by the condition of the problem, their areas are equal. Let’s find the area of a square with a side of 10 cm:

10 * 10 = 100 (cm ^ 2)

Therefore, the rectangle is the same.

2) Now we factor 100 into 2 factors, which together will give the largest value. It can only be 1 and 100, 2 and 50, 4 and 25, 5 and 20. 1 and 100 add up to more than other numbers. This means that the sides of the rectangle will be 1 cm and 100 cm.

3) Find the perimeter of the rectangle:

(1 + 100) * 2 = 202 cm
Answer: 202 cm