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 are going to paint, including the floor and ceiling
To find the surface area of the room that Monica needs to paint, we need to find the surface area of all four walls, the ceiling, and the floor.
1. Surface area of the four walls:
- The two longer walls have an area of 20 ft. x 9 ft. = 180 sq. ft. each
- The two shorter walls have an area of 15 ft. x 9 ft. = 135 sq. ft. each
Total area of the four walls = 2(180 sq. ft.) + 2(135 sq. ft.) = 630 sq. ft.
2. Surface area of the ceiling:
- The ceiling has an area of 20 ft. x 15 ft. = 300 sq. ft.
3. Surface area of the floor:
- The floor has an area of 20 ft. x 15 ft. = 300 sq. ft.
Total surface area to paint = 630 sq. ft. (four walls) + 300 sq. ft. (ceiling) + 300 sq. ft. (floor) = 1230 sq. ft.
Therefore, Monica needs to paint a total surface area of 1230 square feet for her room makeover.