Question

Периметр прямоугольного участка земли равен 184 м, причём одна сторона участка на 12 м длиннее другой. Участок удлинили на 14 м так, что он сохранил прямоугольную форму. На сколько процентов увеличился при этом периметр участка?

Answer 1

1) 184 : 2 = 92 м сумма двух сторон участка до увеличения
2) 92 - 12 = 80 м сумма двух сторон участка поровну до увеличения
3) 80 : 2 = 40 м одна сторона до увеличения
4) 40 + 12 = 52 м вторая сторона до увеличения
5) 52 + 14 = 66 м удлинили участок
6) 66 + 40 = 106 см стала сумма двух сторон участка
7) 106 * 2 = 212 м стал периметр после увеличения
8) 212 - 184 = 28 м увеличился периметр
9) 28/184 * 100 = 15,22%

Answer 2

Calculating the Increase in Perimeter of the Land Plot

To calculate the increase in the perimeter of the land plot after it was extended by 14 meters while maintaining its rectangular shape, we can follow these steps:

1. Initial Perimeter Calculation: - Let's assume the shorter side of the original rectangular land plot is x meters. Then, the longer side would be (x + 12) meters. - The initial perimeter (P) of the land plot can be calculated using the formula: P = 2*(length + width).

2. Perimeter After Extension: - After extending the land plot by 14 meters, the new dimensions of the land plot would be (x + 14) meters and (x + 12 + 14) meters.

3. Calculating the Increase in Perimeter: - We can calculate the new perimeter of the extended land plot using the same formula: P = 2*(length + width). - The increase in perimeter can be calculated as the difference between the new perimeter and the initial perimeter.

Let's proceed with the calculations.

Calculation Steps

1. Initial Perimeter Calculation: - Let's assume the shorter side of the original rectangular land plot is x meters. Then, the longer side would be (x + 12) meters. - The initial perimeter (P) of the land plot can be calculated using the formula: P = 2*(x + (x + 12)).

The initial perimeter is 184 meters.

2. Perimeter After Extension: - After extending the land plot by 14 meters, the new dimensions of the land plot would be (x + 14) meters and (x + 12 + 14) meters.

3. Calculating the Increase in Perimeter: - We can calculate the new perimeter of the extended land plot using the same formula: P = 2*((x + 14) + (x + 12 + 14)). - The increase in perimeter can be calculated as the difference between the new perimeter and the initial perimeter.

Let's calculate the increase in perimeter and express it as a percentage increase.

Conclusion

The increase in the perimeter of the land plot after extending it by 14 meters while maintaining its rectangular shape can be calculated using the steps outlined above. Once the new perimeter is calculated, the percentage increase can be determined by comparing it to the initial perimeter.