Question

КОЛОДУ ЗАВДОВЖКИ 440 СМ РОСПИЛЯЛИ НА 4 ЧАСТИНИ.ТРИ З НИХ РІВНІ МІЖ СОБОЮ,А ЧЕТВЕРТА НА 20 СМ КОРОТША, НІЖ КОЖНА З ПЕРШИХ ТРЬОХ.ЯКОЇ ДОВЖИНИ БІЛЬША ЧАСТИНА КОЛОДИ? ДОПОМОЖІТЬ БУДЬ ЛАСКА!!!!

Answer 1

Пусть х см - это каждая из трех одинаковых частей
тогда (х-20) см это четвертая часть
получаем уравнение
3*х+(х-20)=440
4х=460
х=115
Ответ три части по 115 см, одна часть 95 см

Answer 2

Problem Analysis

We are given a log that is 440 cm long and has been cut into four pieces. Three of the pieces are equal in length, while the fourth piece is 20 cm shorter than each of the first three pieces. We need to determine the length of the longest piece.

Solution

Let's assume the length of each of the first three pieces is x cm. According to the given information, the fourth piece is 20 cm shorter than each of the first three pieces. Therefore, the length of the fourth piece is x - 20 cm.

We know that the sum of the lengths of all four pieces should be equal to the length of the original log, which is 440 cm. We can set up the following equation:

x + x + x + (x - 20) = 440

Simplifying the equation, we get:

4x - 20 = 440

Adding 20 to both sides of the equation, we get:

4x = 460

Dividing both sides of the equation by 4, we get:

x = 115

Therefore, the length of each of the first three pieces is 115 cm. The length of the fourth piece is 20 cm shorter than each of the first three pieces, so it is:

115 - 20 = 95 cm

Hence, the longest piece is 115 cm.

Answer

The length of the longest piece of the log is 115 cm.