How will the area of a square change if its 6 cm side is reduced by 2 cm?

How will the area of a square change if its 6 cm side is reduced by 2 cm? How will the perimeter of the square change? What is the area of a square if its perimeter is 48 cm? 96 cm?

The solution of the problem:
1. What is the area of ​​a square with a side of 6 centimeters?
6 * 6 = 36 sq. cm.
2. What is the perimeter?
6 * 4 = 24 cm.
3. What is the area of ​​a square with a side of 6 – 2 = 4 centimeters?
4 * 4 = 16 sq. cm.
4. What is the perimeter?
4 * 4 = 16 cm.
Answer: A square with a side of 6 centimeters has an area greater than the perimeter, and with a side of 4 cm. The area is equal to the perimeter.
Objective 2.
1. Find the side of a square whose perimeter is 48 cm.
48/4 = 12 cm.
2. Find the area of ​​this square.
12 * 12 = 144 sq. cm.
3. Determine the side of the square, the perimeter of which is 96 cm.
96/4 = 24 cm.
4. What is the area of ​​this square?
24 * 24 = 576 sq. cm.
Answer: The area of ​​a square with a perimeter of 48 cm is equal to 144 square meters. cm. The area of ​​a square with a perimeter is 96 cm.
is equal to 576 sq. cm.



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