Question

Длина ломаной ABCDEF равна 2дм 1см, причём длина отрезка BC равна 7см 8мм, а все остальные отрезки имеют равные длины. Найдите длину отрезка CD.ПОМОГИТЕ ПОЖАЛУЙСТА ПОЛНЫЙ ОТВЕТ И РЕШЕНИЕ ДАЮ 50 БАЛОВ

Answer 1

ABCDEF - ломаная

АВ, ВС, СD, DE, EF - отрезки

2 дм 1 см=21см=210мм

7см 8мм=78мм

210-78=132 см - общая длина остальных отрезков

132:4=33 см - длина отрезка СD

Answer 2

Problem Analysis

We are given a polygon ABCDEF, where the length of the entire polygon is 2 dm 1 cm. We are also given that the length of segment BC is 7 cm 8 mm, and all other segments have equal lengths. We need to find the length of segment CD.

Solution

To find the length of segment CD, we can start by subtracting the length of segment BC from the total length of the polygon. This will give us the combined length of segments AD and EF.

Let's calculate the length of segment AD and segment EF separately.

1. Length of segment BC: 7 cm 8 mm

2. Total length of the polygon: 2 dm 1 cm

To convert the length of the polygon to centimeters, we need to convert 2 dm to cm. Since 1 dm is equal to 10 cm, 2 dm is equal to 20 cm. Therefore, the total length of the polygon is 20 cm + 1 cm = 21 cm.

Now, let's subtract the length of segment BC from the total length of the polygon to find the combined length of segments AD and EF.

21 cm - 7 cm 8 mm = 21 cm - 7.8 cm = 13.2 cm

The combined length of segments AD and EF is 13.2 cm.

Since all the other segments have equal lengths, we can divide the combined length of segments AD and EF by 2 to find the length of segment CD.

13.2 cm / 2 = 6.6 cm

Therefore, the length of segment CD is 6.6 cm.

Answer

The length of segment CD is 6.6 cm.