One side of the rectangle is 12 cm, and its area is 120 cm2. Calculate the area of a square with the same perimeter.

1. Since from the problem statement we know that the area of the rectangle is 120 cm ^ 2, and the length of one of its sides is 12 cm, therefore we can calculate what its second side is. To do this, we need to divide the given area by the length of the known side, we get:

120/12 = 10 cm.

2. Now let’s calculate what the perimeter of this rectangle is. To do this, we find the sum of the lengths of all its sides.

12 + 12 + 10 + 10 = 44 cm.

3. Next, we find the length of one side of the square, if its perimeter is also 44 cm.

44/4 = 11 cm.

4. Calculate the area of the square.

11 * 11 = 121 cm ^ 2.



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