Question

Фигура составлена из пяти одинаковых квадратов. Длина каждой стороны квадрата 20 мм. Вычислить площадь фигуры разными способами.

Answer 1

(20+20)*(20+20)+(20*20)=2000
20*20*5=20

Answer 2

S- 20мм × 20 мм =40мм

Answer 3

Calculation of the Area of the Figure

To calculate the area of the figure composed of five identical squares, each with a side length of 20 mm, we can use different methods. Here are a few ways to calculate the area:

Method 1: Adding the Areas of the Squares Since the figure is composed of five identical squares, we can calculate the area by adding the areas of the individual squares. The formula to calculate the area of a square is side length squared. Therefore, the area of one square is 20 mm * 20 mm = 400 mm². Multiplying this by 5 gives us the total area of the figure: Area = 400 mm² * 5 = 2000 mm².

Method 2: Multiplying the Length and Width of the Figure Another way to calculate the area of the figure is by multiplying the length and width. Since the figure is composed of five squares arranged in a specific pattern, we can determine the length and width of the figure by examining its shape. In this case, the figure can be seen as a rectangle with a length of 20 mm and a width of 100 mm (20 mm * 5 squares). Therefore, the area of the figure is: Area = Length * Width = 20 mm * 100 mm = 2000 mm².

Method 3: Using the Formula for the Area of a Polygon If we consider the figure as a polygon, we can use the formula for the area of a polygon to calculate its area. The formula for the area of a polygon is the sum of the areas of its individual triangles. Since the figure is composed of five squares, we can divide it into five triangles. Each triangle has a base of 20 mm and a height of 20 mm. Therefore, the area of one triangle is 0.5 * base * height = 0.5 * 20 mm * 20 mm = 200 mm². Multiplying this by 5 gives us the total area of the figure: Area = 200 mm² * 5 = 1000 mm².

Conclusion

The area of the figure composed of five identical squares, each with a side length of 20 mm, can be calculated in different ways. Using the methods described above, we find that the area of the figure is 2000 mm², 2000 mm², or 1000 mm², depending on the method used.