Question

А) Нарисуй на клетчатой бумаге прямоугольник со сторонами 10 см. и 6 см. Измерь его площадь, выбрав в качестве единицы измерения е ( мерки ) квадрат со сторонами 2 см. б) вырази площадь ентого прямоугольника в квадратных сантиметрах, в клеточках. Установи, как изменяется значение площади при увеличении мерки, уменьшении мерки. Сделай вывод.

Answer 1

А)10×2=20
6×2=12
20×12=240

Answer 2

Drawing a Rectangle and Calculating Its Area

To draw a rectangle with sides of 10 cm and 6 cm on a grid paper, we can represent the sides using the grid squares. Each square on the grid paper represents a 2 cm by 2 cm area. Therefore, the rectangle with sides of 10 cm and 6 cm can be represented as follows:

. . . . . . . . . .
. . . . . . . . . .
. . . . . . . . . .
. . . . . . . . . .
. . . . . . . . . .

The area of this rectangle can be calculated by counting the number of grid squares it covers.

The area of the rectangle is 15 squares.

Converting the Area to Square Centimeters and Observing Changes in Measurement Units

To express the area of this rectangle in square centimeters, we can use the given measurement unit, where 1 square represents 2 cm by 2 cm.

The area of the rectangle in square centimeters is 30 square centimeters, calculated as follows: - Each square on the grid paper represents 4 square centimeters (2 cm * 2 cm). - Therefore, the area of the rectangle in square centimeters is 15 squares * 4 square centimeters/square = 60 square centimeters.

When the measurement unit is increased (e.g., from 2 cm by 2 cm to 3 cm by 3 cm), the value of the area will decrease. Conversely, when the measurement unit is decreased (e.g., from 2 cm by 2 cm to 1 cm by 1 cm), the value of the area will increase. This is because a larger measurement unit will result in fewer squares covering the same area, while a smaller measurement unit will result in more squares covering the same area.

Therefore, the value of the area decreases when the measurement unit is increased and increases when the measurement unit is decreased.

Conclusion

In conclusion, the choice of measurement unit affects the numerical value of the area. A larger measurement unit results in a smaller numerical value for the area, while a smaller measurement unit results in a larger numerical value for the area. This relationship is due to the change in the number of squares used to cover the same area when the measurement unit is altered.

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