Question

Квадратный кусок бумаги длиной 20 см разрезали на квадраты площадью 25 см2.Каждый квадрат сложили по диагонали и разрезали на треугольники.Сколько получилось треугольников? Решить действиями с пояснением пожалуйста!

Answer 1

1) Ищем площадь квадрата
20 см*20 см = 400 см2 - площадь исходного квадрата
2) 400:25=16 квадратов с площадью 25 см2
3) если квадрат разделить на треугольники по диагонали, то в одном квадрате получается 2 треугольника
16*2=32 треугольника
Ответ: 32 теугольника

Answer 2

Problem Analysis

We are given a square piece of paper with a length of 20 cm. This square is then cut into smaller squares with an area of 25 cm². Each of these smaller squares is then folded along its diagonal and cut into triangles. We need to determine how many triangles are obtained from this process.

Solution

To solve this problem, we can break it down into smaller steps:

Step 1: Find the number of smaller squares that can be obtained from the larger square. Step 2: Find the number of triangles that can be obtained from each smaller square. Step 3: Multiply the number of smaller squares by the number of triangles per square to get the total number of triangles.

Let's calculate each step in detail:

Step 1: Find the number of smaller squares The area of each smaller square is given as 25 cm². To find the side length of each smaller square, we can take the square root of the area:

Side length of smaller square = √(Area of smaller square) = √25 cm² = 5 cm

Now, we can find the number of smaller squares that can be obtained from the larger square by dividing the side length of the larger square by the side length of the smaller square:

Number of smaller squares = (Side length of larger square / Side length of smaller square)² = (20 cm / 5 cm)² = 4² = 16

So, we can obtain 16 smaller squares from the larger square.

Step 2: Find the number of triangles per smaller square Each smaller square is folded along its diagonal and cut into two triangles. So, the number of triangles per smaller square is 2.

Step 3: Find the total number of triangles To find the total number of triangles, we multiply the number of smaller squares by the number of triangles per square:

Total number of triangles = Number of smaller squares * Number of triangles per square = 16 * 2 = 32

Therefore, we obtain a total of 32 triangles from this process.

Answer

The process of cutting a square piece of paper with a length of 20 cm into smaller squares with an area of 25 cm², folding each square along its diagonal, and cutting them into triangles results in a total of 32 triangles.