The length of the rectangle is 26 cm and the width is 12 cm less. find the area of a square that has

The length of the rectangle is 26 cm and the width is 12 cm less. find the area of a square that has the same perimeter as the given rectangle.

1. We calculate what is the width of a geometric figure in the shape of a rectangle:

26 – 12 = 14 centimeters.

2. We calculate the perimeter of this geometric figure:

26 x 2 + 14 x 2 = 52 + 28 = 80 centimeters.

3. Taking into account that the perimeter of a geometrical figure in the shape of a rectangle is equal to the perimeter of a square, we calculate the length of a side of a square:

80: 4 = 20 centimeters.

4. Calculate the area of the square:

20 x 20 = 400 cm ^ 2.

Answer: the area of the square is 400 cm ^ 2.