Question

Периметр- 278. Как найти периметр прямоугольника; квадрата? Предложите разные способы. Какие из этих способов лучше На железнодорожной станции стояли 3 товарных состава. В вом составе было 30 вагонов, во втором на 5 вагонов боль- ше, чем в первом. Сколько всего вагонов было в этих трёх со- ставах, если в первом из них было на 10 вагонов меньше, чем в третьем?​

Answer 1

Пошаговое объяснение:

1)30+5=35

2)30+10=40

3)30+35+40=105

Ответ 105 вагонов

Answer 2

Finding the Perimeter of a Rectangle

To find the perimeter of a rectangle, you can use the formula: perimeter = 2 * (length + width). The perimeter is the total length of all the sides of the rectangle. Here are a few different methods to find the perimeter of a rectangle:

1. Method 1: Given the length and width: - If you know the length and width of the rectangle, you can simply add the length and width together and then multiply the sum by 2. - For example, if the length is 10 units and the width is 8 units, the perimeter would be: perimeter = 2 * (10 + 8) = 36 units.

2. Method 2: Given the coordinates of the rectangle's vertices: - If you have the coordinates of the rectangle's vertices, you can calculate the distance between each pair of consecutive vertices and then sum up all the distances. - For example, if the coordinates of the vertices are (0, 0), (0, 8), (10, 8), and (10, 0), you can calculate the distances between (0, 0) and (0, 8), (0, 8) and (10, 8), (10, 8) and (10, 0), and (10, 0) and (0, 0). Then, sum up all the distances to find the perimeter.

Finding the Perimeter of a Square

To find the perimeter of a square, you can use the formula: perimeter = 4 * side length. The perimeter of a square is the total length of all its sides, and since all sides of a square are equal, you can simply multiply the side length by 4. Here's how you can find the perimeter of a square:

1. Method 1: Given the side length: - If you know the length of one side of the square, you can multiply it by 4 to find the perimeter. - For example, if the side length is 5 units, the perimeter would be: perimeter = 4 * 5 = 20 units.

2. Method 2: Given the coordinates of the square's vertices: - If you have the coordinates of the square's vertices, you can calculate the distance between each pair of consecutive vertices and then sum up all the distances. - For example, if the coordinates of the vertices are (0, 0), (0, 5), (5, 5), and (5, 0), you can calculate the distances between (0, 0) and (0, 5), (0, 5) and (5, 5), (5, 5) and (5, 0), and (5, 0) and (0, 0). Then, sum up all the distances to find the perimeter.

Comparison of Methods

Both methods mentioned above are valid and will give you the correct perimeter of a rectangle or a square. The choice of method depends on the information you have about the shape. If you know the length and width or the side length, it is more straightforward to use the respective formulas. However, if you have the coordinates of the vertices, you can use the distance formula to find the perimeter.

Now, let's move on to the next question.

Calculation of Total Number of Wagons

To calculate the total number of wagons in the three freight trains, we need to consider the given information. Let's break down the problem step by step:

1. In the first train, there were 30 wagons, which is 10 wagons less than the third train. 2. In the second train, there were 5 wagons more than the first train. 3. We need to find the total number of wagons in all three trains.

Let's solve this problem using algebraic equations:

Let's assume the number of wagons in the first train is x. According to the given information: - The number of wagons in the second train is x + 5. - The number of wagons in the third train is x + 10.

To find the total number of wagons, we add the number of wagons in each train:

Total number of wagons = Number of wagons in the first train + Number of wagons in the second train + Number of wagons in the third train

Total number of wagons = x + (x + 5) + (x + 10)

Simplifying the equation: Total number of wagons = 3x + 15

Now, we need to find the value of x to calculate the total number of wagons. However, the given information does not provide enough information to determine the value of x. Therefore, we cannot calculate the exact total number of wagons without additional information.

Please let me know if there's anything else I can help you with!