Question

Помогите!!! • • Лесной царь отвел зверятам по огороды участки прямоугольной формы,сумма длин которых равна 16 м.Какой площади участок получил каждый из зверят,если все они разные и длины сторон участков выражаются целыми числами метров?Какой формы участок,площадь которого наибольшая

Answer 1

Ответ: их площади могут быть 1м и 7м; 2м и 6м; 3м и 5м; 4 и 4м. Наибольшую площадь имеет квадратный участок.
Удачи!

Answer 2

Ответ:

их площади могут быть 1м и 7м; 2м и 6м; 3м и 5м; 4 и 4м. Наибольшую площадь имеет квадратный участок.

Answer 3

Problem Analysis

The problem states that the Forest King has allocated rectangular plots of land to the animals. The sum of the lengths of these plots is 16 meters. We need to determine the area of each plot and identify the shape of the plot with the largest area.

Solution

To find the area of each plot, we need to divide the total length of 16 meters among the different plots. Since the lengths of the plots are expressed in whole numbers, we can consider all possible combinations of lengths that add up to 16.

Let's calculate the area for each possible combination and determine the shape with the largest area.

Calculation

To calculate the area, we need to consider the different combinations of lengths that add up to 16. Since the problem does not provide any specific constraints or requirements, we will consider all possible combinations.

Here are the possible combinations of lengths that add up to 16:

- Length 1: 1 meter, Length 2: 15 meters (Area: 1 * 15 = 15 square meters) - Length 1: 2 meters, Length 2: 14 meters (Area: 2 * 14 = 28 square meters) - Length 1: 3 meters, Length 2: 13 meters (Area: 3 * 13 = 39 square meters) - Length 1: 4 meters, Length 2: 12 meters (Area: 4 * 12 = 48 square meters) - Length 1: 5 meters, Length 2: 11 meters (Area: 5 * 11 = 55 square meters) - Length 1: 6 meters, Length 2: 10 meters (Area: 6 * 10 = 60 square meters) - Length 1: 7 meters, Length 2: 9 meters (Area: 7 * 9 = 63 square meters) - Length 1: 8 meters, Length 2: 8 meters (Area: 8 * 8 = 64 square meters)

Results

Based on the calculations, we have determined the areas for each possible combination of lengths. Here are the results:

- Length 1: 1 meter, Length 2: 15 meters (Area: 15 square meters) - Length 1: 2 meters, Length 2: 14 meters (Area: 28 square meters) - Length 1: 3 meters, Length 2: 13 meters (Area: 39 square meters) - Length 1: 4 meters, Length 2: 12 meters (Area: 48 square meters) - Length 1: 5 meters, Length 2: 11 meters (Area: 55 square meters) - Length 1: 6 meters, Length 2: 10 meters (Area: 60 square meters) - Length 1: 7 meters, Length 2: 9 meters (Area: 63 square meters) - Length 1: 8 meters, Length 2: 8 meters (Area: 64 square meters)

Conclusion

From the calculations, we can see that the plot with a length of 8 meters and a width of 8 meters has the largest area of 64 square meters. Therefore, the plot with the largest area is a square.

Please let me know if you need any further assistance!