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.
To find the surface area of the room that needs to be painted, we first need to calculate the area of each of the four walls, the floor, and the ceiling.
The two longer walls have a length of 20 ft and a height of 9 ft each. So, the area of each of these walls is 20 ft * 9 ft = 180 sq ft. Since there are two of these walls, the total area for the longer walls would be 2 * 180 sq ft = 360 sq ft.
The two shorter walls have a length of 15 ft and a height of 9 ft each. So, the area of each of these walls is 15 ft * 9 ft = 135 sq ft. Since there are two of these walls, the total area for the shorter walls would be 2 * 135 sq ft = 270 sq ft.
The floor has an area of 20 ft * 15 ft = 300 sq ft.
The ceiling also has the same area as the floor, which is 300 sq ft.
Therefore, the total surface area of the room that needs to be painted, including the floor and ceiling, would be:
360 sq ft (longer walls) + 270 sq ft (shorter walls) + 300 sq ft (floor) + 300 sq ft (ceiling) = 1230 sq ft
So, Monica will need to paint a total of 1230 square feet of surface area in her room for the makeover.