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A room has a total surface area of 350 m ×m and lateral surface area of 200m×m.find the area of its base?
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A room has a total surface area of 350 m ×m and lateral surface area o...
The surface area of a rectangular solid (such as a room) is given by the sum of the areas of all its faces. If the total surface area is 350 m^2 and the lateral surface area is 200 m^2, we can calculate the area of the base as follows:
Base area = Total surface area - 2 * Lateral surface area
Base area = 350 m^2 - 2 * 200 m
^2
Base area = 350 m^2 - 400 m
^2
Base area = -50 m
^2
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A room has a total surface area of 350 m ×m and lateral surface area o...

Calculating the Area of the Base of a Room

To find the area of the base of the room, we need to consider the given total surface area and lateral surface area of the room.

Given Information:
- Total surface area of the room = 350 m²
- Lateral surface area of the room = 200 m²

Formula:
Total surface area of a room = 2 (Area of the base) + Lateral surface area

Calculation:
1. Total surface area = 2 (Area of the base) + Lateral surface area
2. 350 m² = 2 (Area of the base) + 200 m²
3. Area of the base = (350 m² - 200 m²) / 2
4. Area of the base = 150 m² / 2
5. Area of the base = 75 m²

Therefore, the area of the base of the room is 75 square meters.
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A room has a total surface area of 350 m ×m and lateral surface area of 200m×m.find the area of its base?
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