Question

Размер одной комнаты 3 и 6x а другой размер комнаты 2x+1 и 3x-2. Найдите общую площадь этих комнат

Answer 1

Площадь 1-ой комнаты:
S₁ = 3 * 6х = 18х
Площадь 2-ой комнаты:
S₂ = (2х + 1)(3х - 2) = 6х² - 4х + 3х - 2 = 6х² - х - 2
Общая площадь:
S = S₁ + S₂ = 18х + 6х² - х - 2 = 6х² + 17х - 2.
Ответ: 6х² + 17х - 2.

Answer 2

Calculating the Total Area of the Rooms

To find the total area of the rooms, we can use the formula for the area of a rectangle, which is given by the product of its length and width.

Let's calculate the total area for each room and then find the sum of these areas.

1. Room 1: - Length: 3 - Width: 6x

The area of Room 1 is given by: 3 * 6x = 18x

2. Room 2: - Length: 2x + 1 - Width: 3x - 2

The area of Room 2 is given by: (2x + 1) * (3x - 2) = 6x^2 - 4x + 3x - 2 = 6x^2 - x - 2

Total Area Calculation

The total area of the two rooms is the sum of their individual areas: Total Area = Area of Room 1 + Area of Room 2 Total Area = 18x + 6x^2 - x - 2

Therefore, the total area of the two rooms is 18x + 6x^2 - x - 2.