Question

Ломанная состоит из трех звеньев. Длина первого звена 10,8 см, что на 4,1 см больше длины второго звена и на 5,6 меньше длины третьего. Найдите длину ломанной.

Answer 1

Ответ:

1)10.8-4.1=6.7(см.)-длина 2 звена

2)10.8+5.6=16.4(см.)-длина 3 звена

3)10.8+6.7+16.4=33.9(см.)-длина ломаной

Ответ: 33.9 сантиметров

Answer 2

Problem Analysis

We are given a broken line consisting of three links. The length of the first link is 10.8 cm, which is 4.1 cm longer than the second link, and 5.6 cm shorter than the third link. We need to find the length of the broken line.

Solution

To find the length of the broken line, we need to add the lengths of all three links.

Let's denote the length of the second link as x cm.

According to the given information, the length of the first link is 4.1 cm longer than the second link, so the length of the first link is x + 4.1 cm.

Similarly, the length of the third link is 5.6 cm longer than the first link, so the length of the third link is (x + 4.1) + 5.6 cm.

To find the length of the broken line, we add the lengths of all three links:

Length of broken line = Length of first link + Length of second link + Length of third link

Length of broken line = (x + 4.1) cm + x cm + [(x + 4.1) + 5.6] cm

Simplifying the expression:

Length of broken line = 3x + 13.8 cm

Therefore, the length of the broken line is 3x + 13.8 cm.

Calculation

To find the length of the broken line, we need to find the value of x.

Let's solve the equation to find the value of x:

3x + 13.8 = Length of broken line

Since we don't have the exact value of the broken line, we cannot calculate the exact value of x.

However, if we assume the length of the broken line is known, we can substitute that value into the equation to find the value of x.

For example, if the length of the broken line is 30 cm, we can substitute that value into the equation:

3x + 13.8 = 30

Simplifying the equation:

3x = 30 - 13.8

3x = 16.2

x = 16.2 / 3

x ≈ 5.4

Therefore, if the length of the broken line is 30 cm, the length of the second link (x) would be approximately 5.4 cm.

Answer

The length of the broken line is 3x + 13.8 cm, where x is the length of the second link. The exact value of the broken line cannot be determined without knowing the length of the broken line or the length of the second link.