Question

Поле площадью 80кв.м разделили пополам,а затем каждую половину еще раз пополам.сколько получилось участков?

Answer 1

Problem Analysis

We are given a field with an area of 80 square meters. The field is divided in half, and then each half is divided in half again. We need to determine how many plots are created in total.

Solution

To solve this problem, we can use a simple mathematical approach.

1. Start with the original field, which has an area of 80 square meters. 2. Divide the field in half, resulting in two equal halves, each with an area of 40 square meters. 3. Divide each half in half again, resulting in four equal quarters, each with an area of 20 square meters. 4. Continue dividing each quarter in half until we cannot divide anymore.

To find the total number of plots, we need to count the number of divisions. Each division creates two new plots.

Let's calculate the number of divisions:

1. Original field: 0 divisions 2. First division: 1 division 3. Second division: 2 divisions 4. Third division: 3 divisions 5. Fourth division: 4 divisions

Therefore, the total number of plots is the sum of the divisions, which is 0 + 1 + 2 + 3 + 4 = 10.

So, the field will be divided into a total of 10 plots.

Example Calculation

Let's go through an example calculation to illustrate the process:

1. Original field: 80 square meters 2. First division: 40 square meters (2 plots) 3. Second division: 20 square meters (4 plots) 4. Third division: 10 square meters (8 plots) 5. Fourth division: 5 square meters (16 plots)

In this example, we can see that the field is divided into a total of 16 plots.

Conclusion

The field with an area of 80 square meters will be divided into a total of 10 plots. Each division creates two new plots.