from 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, in 9 ft. hi, 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 calculate the area of each of the six walls (four walls, ceiling, and floor) separately and then sum them up.
1. Area of the two longer walls:
Each of the two longer walls is 20 ft. long and 9 ft. high.
Area of one longer wall = length x height = 20 ft. x 9 ft. = 180 sq. ft.
Area of both longer walls = 2 x 180 sq. ft. = 360 sq. ft.
2. Area of the two shorter walls:
Each of the two shorter walls is 15 ft. wide and 9 ft. high.
Area of one shorter wall = width x height = 15 ft. x 9 ft. = 135 sq. ft.
Area of both shorter walls = 2 x 135 sq. ft. = 270 sq. ft.
3. Area of the ceiling:
The ceiling is 20 ft. long and 15 ft. wide.
Area of the ceiling = length x width = 20 ft. x 15 ft. = 300 sq. ft.
4. Area of the floor:
The floor is also 20 ft. long and 15 ft. wide.
Area of the floor = length x width = 20 ft. x 15 ft. = 300 sq. ft.
Adding up the areas of all the surfaces gives us the total surface area that needs to be painted:
360 sq. ft. (two longer walls) + 270 sq. ft. (two shorter walls) + 300 sq. ft. (ceiling) + 300 sq. ft. (floor) = 1230 sq. ft.
So, Monica will need to paint a total surface area of 1230 square feet in her bedroom makeover.