Question

A square room is 12 m long and 5 m high.

(i) Find the area of its floor and ceiling.
A) 12 m²
B) 60 m²
C) 120 m²
D) 72 m²

(ii) Find the area of its 4 walls.
A) 40 m²
B) 240 m²
C) 60 m²
D) 120 m²

Answer 1

The area of the floor or ceiling of a square room with each side measuring 12 meters is 144 square meters. The area of the four walls of a room with each wall being 12 meters long and 5 meters high is 240 square meters. The provided options do not include the correct answer for the area of the floor and ceiling.

Step-by-step explanation:

The question asks for the area of the floor and ceiling of a square room as well as the area of the four walls. To calculate the area of the floor or ceiling of a square room, we use the formula Area = length × width. Since the room is square, the length and width are equal, so the area of the floor or ceiling can be calculated as (12 m) × (12 m) = 144 m². Therefore, the correct answer for the area of the floor and ceiling is not listed in the options provided.

For the second part, to find the area of the four walls, we calculate the perimeter of the room and multiply by the height of the walls. Perimeter of the square room is 4 × length, which in this case is 4 × (12 m) = 48 m. Multiplying the perimeter by the room height (5 m), we get 48 m × 5 m = 240 m². Hence, the correct answer for the area of the four walls is option B) 240 m².

Answer 2

The area of the floor or ceiling of a square room with each side measuring 12 meters is 144 square meters. The area of the four walls of a room with each wall being 12 meters long and 5 meters high is 240 square meters. The provided options do not include the correct answer for the area of the floor and ceiling.

Step-by-step explanation:

The question asks for the area of the floor and ceiling of a square room as well as the area of the four walls. To calculate the area of the floor or ceiling of a square room, we use the formula Area = length × width. Since the room is square, the length and width are equal, so the area of the floor or ceiling can be calculated as (12 m) × (12 m) = 144 m². Therefore, the correct answer for the area of the floor and ceiling is not listed in the options provided.

For the second part, to find the area of the four walls, we calculate the perimeter of the room and multiply by the height of the walls. Perimeter of the square room is 4 × length, which in this case is 4 × (12 m) = 48 m. Multiplying the perimeter by the room height (5 m), we get 48 m × 5 m = 240 m². Hence, the correct answer for the area of the four walls is option B) 240 m².