Question

Периметр прямоугольника со сторонами 2 см. и 8 см равен периметру квадрата со стороной 4 см?

Answer 1

Периметр прямоугольника равен P1=2+2+8+8=20cm
периметр квадрата равен Р2=4+4+4+4=16 см

P1>P2

Ответ: периметр прямоугольника не равен периметру квадрата

Answer 2

Calculation of the Perimeter of a Rectangle

To calculate the perimeter of a rectangle, you need to add up the lengths of all its sides. In this case, we have a rectangle with sides measuring 2 cm and 8 cm. The formula for the perimeter of a rectangle is P = 2 * (a + b), where a and b are the lengths of the sides.

Using this formula, we can calculate the perimeter of the rectangle as follows:

P = 2 * (2 + 8) = 2 * 10 = 20 cm

Therefore, the perimeter of the rectangle with sides measuring 2 cm and 8 cm is 20 cm.

Calculation of the Perimeter of a Square

To calculate the perimeter of a square, you need to add up the lengths of all its sides. In this case, we have a square with a side length of 4 cm. The formula for the perimeter of a square is P = 4 * a, where a is the length of one side.

Using this formula, we can calculate the perimeter of the square as follows:

P = 4 * 4 = 16 cm

Therefore, the perimeter of the square with a side length of 4 cm is 16 cm.

Comparison of the Perimeters

Now, let's compare the perimeters of the rectangle and the square. The perimeter of the rectangle is 20 cm, while the perimeter of the square is 16 cm. Since the perimeters are different, we can conclude that the statement "the perimeter of the rectangle with sides measuring 2 cm and 8 cm is equal to the perimeter of the square with a side length of 4 cm" is false.

To summarize: - Perimeter of the rectangle: 20 cm - Perimeter of the square: 16 cm

Therefore, the statement is false.