Question

Решите уровнением:Площадь кухни в 3 раза меньше площади комнаты,поэтому для ремонта пола кухни потребовалось на 24м линолеума меньше,чем для комнаты.Какова площадь кухни?

Answer 1

пусть площадь кухни х , тогда площадь комнаты 3х Составим уравнение

3х-х=24

2х=24

х=24:2

х=12 кв м - площадь кухни 

Answer 2

Problem Analysis

We are given that the area of the kitchen is 3 times smaller than the area of the room. Additionally, we know that 24 square meters less linoleum was needed for the kitchen floor compared to the room floor. We need to find the area of the kitchen.

Solution

Let's assume the area of the room is R square meters. According to the given information, the area of the kitchen is 3R square meters.

We are also told that 24 square meters less linoleum was needed for the kitchen floor compared to the room floor. This means that the linoleum used for the kitchen floor is equal to the linoleum used for the room floor minus 24 square meters.

Let's assume the linoleum used for the room floor is L square meters. According to the given information, the linoleum used for the kitchen floor is L - 24 square meters.

To find the area of the kitchen, we need to equate the linoleum used for the kitchen floor to the area of the kitchen floor and solve for R.

Calculation

The linoleum used for the room floor is L square meters.

The linoleum used for the kitchen floor is L - 24 square meters.

The area of the room is R square meters.

The area of the kitchen is 3R square meters.

We can set up the following equation:

L - 24 = 3R

Simplifying the equation:

L = 3R + 24

Now we can substitute L with 3R + 24 in the equation:

3R + 24 = R

Simplifying further:

2R = 24

Dividing both sides by 2:

R = 12

Therefore, the area of the kitchen is 3R = 3 * 12 = 36 square meters.

Answer

The area of the kitchen is 36 square meters.