Question

Квартира состоит их трех маленьких комнат, кухни, ванной и коридора.Площадь коридора 4 м (квадратных).Площадь ванной и кухни вместе в 4 раза больше площади коридора.Найдите площадь всех квартиры, если площадь коридора, ванной и кухни вдвое меньше площади комнат.

Answer 1

Площадь ванной и кухни 4*4=16м²
Площадь коридора,ванной и кухни 16+4=20м²
Площадь комнат 20*2=40м²
Площадь квартиры 20+40=60м²

Answer 2

Problem Analysis

We are given the following information about an apartment: - It consists of three small rooms, a kitchen, a bathroom, and a corridor. - The area of the corridor is 4 square meters. - The combined area of the bathroom and kitchen is 4 times larger than the area of the corridor. - The area of the corridor, bathroom, and kitchen is half the area of the rooms.

We need to find the total area of the apartment.

Solution

Let's assign variables to the unknown areas: - Let C be the area of the corridor. - Let B be the area of the bathroom. - Let K be the area of the kitchen. - Let R be the area of each room.

Based on the given information, we can write the following equations: 1. The area of the corridor is 4 square meters: C = 4. 2. The combined area of the bathroom and kitchen is 4 times larger than the area of the corridor: B + K = 4C. 3. The area of the corridor, bathroom, and kitchen is half the area of the rooms: C + B + K = (3R) / 2.

To find the total area of the apartment, we need to sum the areas of all the rooms, the kitchen, the bathroom, and the corridor: Total Area = 3R + K + B + C.

Let's solve the equations to find the values of the variables and calculate the total area.

Solution Steps

1. Substitute the value of C from equation 1 into equation 2: B + K = 4(4). 2. Simplify equation 2: B + K = 16. 3. Substitute the value of C from equation 1 into equation 3: 4 + B + K = (3R) / 2. 4. Simplify equation 3: B + K = (3R) / 2 - 4. 5. Equate the right-hand sides of equations 2 and 4: 16 = (3R) / 2 - 4. 6. Simplify equation 5: (3R) / 2 = 20. 7. Multiply both sides of equation 6 by 2/3: R = 40/3. 8. Substitute the value of R into equation 1: C = 4. 9. Substitute the value of C into equation 2: B + K = 16. 10. Substitute the value of C into equation 3: 4 + B + K = (3(40/3)) / 2. 11. Simplify equation 10: B + K = 20. 12. Substitute the values of C, B, and K into the equation for the total area: Total Area = 3(40/3) + 20 + 4. 13. Simplify equation 12: Total Area = 40 + 20 + 4. 14. Calculate the total area: Total Area = 64 square meters.

Therefore, the total area of the apartment is 64 square meters.

Answer

The total area of the apartment, consisting of three small rooms, a kitchen, a bathroom, and a corridor, is 64 square meters.