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 need to find the area of all four walls, the floor, and the ceiling.
1. Area of the floor:
Length x Width = 20 ft x 15 ft = 300 sq. ft
2. Area of the ceiling:
Length x Width = 20 ft x 15 ft = 300 sq. ft
3. Area of the two longer walls:
Length x Height = 20 ft x 9 ft = 180 sq. ft
Length x Height = 20 ft x 9 ft = 180 sq. ft
Total area = 180 sq. ft x 2 = 360 sq. ft
4. Area of the two shorter walls:
Width x Height = 15 ft x 9 ft = 135 sq. ft
Width x Height = 15 ft x 9 ft = 135 sq. ft
Total area = 135 sq. ft x 2 = 270 sq. ft
Total surface area to be painted:
Floor + ceiling + two longer walls + two shorter walls
300 sq. ft + 300 sq. ft + 360 sq. ft + 270 sq. ft = 1230 sq. ft
Therefore, the total surface area of Monica's room that needs to be painted is 1230 sq. ft.