Question

Периметр прямоугольного дачного участка равен 48 м. Сколько существует вариантов различных прямоугольных участков, если по периметру можно поставить забор с целыми секциями по 2 м.

Answer 1

Ответ:
существует 6 вариантов различных прямоугольных участков
Объяснение:

Answer 2

Calculation of the Number of Different Rectangular Plots

To calculate the number of different rectangular plots that can be formed with a perimeter of 48 m, where the fence can be installed in whole sections of 2 m each, we need to consider the dimensions of the rectangular plot.

Let's assume the length of the rectangular plot is L and the width is W. The perimeter of a rectangle is given by the formula:

Perimeter = 2(L + W)

Given that the perimeter is 48 m, we can rewrite the formula as:

48 = 2(L + W)

Simplifying the equation, we have:

L + W = 24

Now, we need to find the number of different combinations of L and W that satisfy this equation.

To do this, we can use a table to list all the possible values of L and W that add up to 24.

| Length (L) | Width (W) | |------------|-----------| | 1 | 23 | | 2 | 22 | | 3 | 21 | | 4 | 20 | | 5 | 19 | | 6 | 18 | | 7 | 17 | | 8 | 16 | | 9 | 15 | | 10 | 14 | | 11 | 13 | | 12 | 12 |

From the table, we can see that there are 12 different combinations of L and W that satisfy the equation L + W = 24.

Therefore, there are 12 different rectangular plots that can be formed with a perimeter of 48 m, where the fence can be installed in whole sections of 2 m each.

Please note that the table above is not an exhaustive list of all possible combinations. It is provided as an example to illustrate the calculation.