The length of a room is (3x + 10) m and the breadth of the room is (2x

1.	The length of a room is (3x + 10) m and the breadth of the room is (2x + 5) m. The area of four walls of the room is (60x + 180) m2. What is the height of the room?1. 4 m2. 6 m3. 7 m4. 8 m
Answer» Correct Answer - Option 2 : 6 m Given: The length of the room is (3x + 10) m and breadth of the room is (2x + 5) m. The area of four walls of the room is (60x + 180) m². We have to find the height of the room. Concept Used: If the length, breadth and height of a room be l, b and h then the area of four walls of the room is [2 × (l + b) × h] Calculation: Let, the height of the room be h Accordingly, 2 × {(3x + 10) + (2x + 5)} × h = (60x + 180) ⇒ (5x + 15)h = 30x + 90 ⇒ (5x + 15)h = 6(5x + 15) ⇒ h = 6 ∴ The height of the room is 6 m.

The length of a room is (3x + 10) m and the breadth of the room is (2x + 5) m. The area of four walls of the room is (60x + 180) m2. What is the height of the room?1. 4 m2. 6 m3. 7 m4. 8 m

Answer» Correct Answer - Option 2 : 6 m

Given:

The length of the room is (3x + 10) m and breadth of the room is (2x + 5) m. The area of four walls of the room is (60x + 180) m². We have to find the height of the room.

Concept Used:

If the length, breadth and height of a room be l, b and h then the area of four walls of the room is [2 × (l + b) × h]

Calculation:

Let, the height of the room be h

Accordingly,

2 × {(3x + 10) + (2x + 5)} × h = (60x + 180)

⇒ (5x + 15)h = 30x + 90

⇒ (5x + 15)h = 6(5x + 15)

⇒ h = 6

∴ The height of the room is 6 m.

Discussion

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