The perimeter of the rectangle is 86 cm, and its length is 31 cm. A part of it was cut off from this rectangle in one movement

The perimeter of the rectangle is 86 cm, and its length is 31 cm. A part of it was cut off from this rectangle in one movement so that it turned out to be a square. How many square centimeters is the area of the resulting square?

1. The perimeter of a rectangle is the sum of all its sides, it has 2 sides equal to each other, we first find the length of 2 short sides:

86 – 31 – 31 = 24 (cm).

2. Find the width of the rectangle:

24: 2 = 12 (cm).

You can cut only a square with a side of 12 cm in one motion.

3. Determine the area of the resulting square:

12 * 12 = 144 cm ^ 2.

Answer: the area of the square is 144 cm ^ 2.