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)
surface area =
square feet
The surface area of the room that needs to be painted includes the four walls, the floor, and the ceiling.
Surface area of the walls = 2(length x height) + 2(width x height)
Surface area of the walls = 2(20ft x 9ft) + 2(15ft x 9ft)
Surface area of the walls = 360 sq. ft. + 270 sq. ft.
Surface area of the walls = 630 sq. ft.
Surface area of the floor = length x width
Surface area of the floor = 20ft x 15ft
Surface area of the floor = 300 sq. ft.
Surface area of the ceiling = length x width
Surface area of the ceiling = 20ft x 15ft
Surface area of the ceiling = 300 sq. ft.
Therefore, the total surface area that needs to be painted is:
630 sq. ft. (walls) + 300 sq. ft. (floor) + 300 sq. ft. (ceiling) = 1230 sq. ft.
So, the surface area of the room that Monica will paint is 1230 square feet.