A square with a side of 2 cm was cut from a square with a side of 12 cm.Find the perimeter of the resulting figure.

| May 18, 2021 | education

Answer: 1) 48 cm; 2) 48 cm; 3) 52 cm.

The perimeter is the sum of the lengths of all sides of any polygon.

The perimeter of the original square with a side of 12 cm is:

12 * 4 = 48 cm.

There are 3 options for cutting a square with a side of 2 cm.

1. The square is cut from the inner surface of the larger one. The perimeter of the larger one does not change and is 48 cm.

2. From any corner of the square, 2 cm is laid on the adjacent sides and a small square is cut out. Due to the cutout, the two sides are reduced to 10 cm at the large square, the figure turns into a hexagon with two additional sides of 2 cm. The perimeter will be:

12 + 12 + 10 + 10 + 2 + 2 = 48 cm.

That is, the perimeter will not change.

3. Cut out a square from the middle of one of the sides of the larger square. Set aside 1 cm from the middle of the side, make two cuts 2 cm deep from each point and cut out a small square.

The figure will turn into an octagon. In this case, one side of the original square will become equal to 10 cm and 3 sides of 2 cm will be added.The perimeter of such a figure will increase and amount to:

12 + 12 + 12 + 10 + 2 + 2 + 2 = 52 cm.



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