Question

Тимофей огородил два загона для коз. Оказалось, что для каждого загона понадобилось одинаковое количество метров ограждения. Первый загон прямоугольный со сторонами 260 м и 390 м, а второй — квадратный. Какой загон имеет большую площадь? Загон прямоугольной формы Загон квадратной формы На сколько квадратных метров больше? Ответ: на ? м².

Answer 1

Ответ:

Объяснение:

на фото

Answer 2

Problem Analysis

Timofey has built two enclosures for his goats. The first enclosure is rectangular with sides measuring 260 m and 390 m, while the second enclosure is square. We need to determine which enclosure has a larger area and by how many square meters.

Solution

To find the area of the rectangular enclosure, we multiply its length by its width: Area_rectangular = length * width.

To find the area of the square enclosure, we square the length of one side: Area_square = side_length^2.

Let's calculate the areas of both enclosures and compare them.

Calculation

1. Area of the rectangular enclosure: - Length = 260 m - Width = 390 m - Area_rectangular = 260 m * 390 m = 101,400 m²

2. Area of the square enclosure: - Side length = x (unknown) - Area_square = x^2

Since the perimeter of both enclosures is the same, we can equate the perimeter formulas to find the side length of the square enclosure.

Perimeter Equations

1. Perimeter of the rectangular enclosure: - Perimeter_rectangular = 2 * (length + width) = 2 * (260 m + 390 m) = 2 * 650 m = 1300 m

2. Perimeter of the square enclosure: - Perimeter_square = 4 * side_length = 1300 m

We can solve the equation 4 * side_length = 1300 m to find the side length of the square enclosure.

Solving for Side Length

4 * side_length = 1300 m Divide both sides by 4: side_length = 1300 m / 4 = 325 m

Now that we know the side length of the square enclosure, we can calculate its area.

Calculation

Area_square = side_length^2 = 325 m * 325 m = 105,625 m²

Comparison

The rectangular enclosure has an area of 101,400 m², while the square enclosure has an area of 105,625 m².

Conclusion

The square enclosure has a larger area than the rectangular enclosure by: 105,625 m² - 101,400 m² = 4,225 m².

Therefore, the square enclosure is larger by 4,225 square meters.