For Monica’s 14th birthday, she wants to make over her bedroom. The first phase in the bedroom makeover is painting her room. If Monica’s room is 20 ft. long, 15 ft. wide, and 9 ft. high, find the surface area of the room that you are going to paint, including the floor and ceiling(1 point)
To find the surface area of the room that Monica is going to paint, including the floor and ceiling, we need to calculate the area of each of the four walls separately and then add those areas together.
First, let's calculate the area of the floor and ceiling:
- Area of the floor = length x width = 20 ft x 15 ft = 300 sq ft
- Area of the ceiling = length x width = 20 ft x 15 ft = 300 sq ft
Now, let's calculate the area of the four walls:
- Area of the two longer walls = 2 x height x length = 2 x 9 ft x 20 ft = 360 sq ft
- Area of the two shorter walls = 2 x height x width = 2 x 9 ft x 15 ft = 270 sq ft
Now, add up all the areas:
300 sq ft (floor) + 300 sq ft (ceiling) + 360 sq ft (two longer walls) + 270 sq ft (two shorter walls) = 1230 sq ft
Therefore, the surface area of the room that Monica is going to paint, including the floor and ceiling, is 1230 square feet.