Question

Два одинаковых прямоугольных участка размером 10м * 30м объединили и окружили общим забором, на две ровные части. Найдите площадь получившегося участка в квадратных метрах и длину окружающего забора в метрах.

Answer 1

Находим площадь одного участка с длиной 30м и шириной 10м: 30*10=300 м2. Так как участки одинаковы, то площадь второго участка точно такая же. А площадь двух участков будет равна: 300*2=600 м2. Находим периметр 2х сложенных участков: ширина 30м длина 20м. Р=(20+30)*2=100м
Ответ: S=600 м2, длина окружающего забора 100 м.

Answer 2

Calculating the Area and Perimeter of the Combined Rectangular Plots

To find the area of the combined rectangular plots and the length of the surrounding fence, we can follow these steps:

1. Calculate the Area of the Combined Rectangular Plot: - The area of the combined rectangular plot can be found by adding the areas of the two individual plots and then subtracting the area of the overlapping region.

- The area of each individual plot is given by the formula: length * width.

- Given that the size of each plot is 10m * 30m, the area of each individual plot is 10m * 30m = 300 square meters.

- Since the two plots are identical, the total area of the combined plot is 2 * 300 square meters = 600 square meters.

- Therefore, the area of the combined plot is 600 square meters.

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2. Calculate the Perimeter of the Surrounding Fence: - The perimeter of the surrounding fence can be found by adding the perimeters of the two individual plots and then subtracting the length of the overlapping fence.

- The perimeter of each individual plot is given by the formula: 2 * (length + width).

- Given that the size of each plot is 10m * 30m, the perimeter of each individual plot is 2 * (10m + 30m) = 2 * 40m = 80 meters.

- Since the two plots are identical, the total perimeter of the combined plot is 2 * 80 meters = 160 meters.

- Therefore, the length of the surrounding fence is 160 meters.

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Conclusion

The area of the combined rectangular plot is 600 square meters, and the length of the surrounding fence is 160 meters.