To find the surface area of the room, we need to add up the areas of all six sides: four walls, floor, and ceiling.
First, find the area of the four walls:
- Two walls are 20 ft. long and 9 ft. high: 20 ft. x 9 ft. = 180 sq. ft. each
- Two walls are 15 ft. wide and 9 ft. high: 15 ft. x 9 ft. = 135 sq. ft. each
Adding these areas together gives a total of 630 sq. ft. for all four walls.
Next, find the area of the floor and ceiling:
- The floor is 20 ft. x 15 ft. = 300 sq. ft.
- The ceiling also has the same area as the floor, so another 300 sq. ft.
Adding the floor and ceiling areas gives a total of 600 sq. ft.
Adding the area of the four walls (630 sq. ft) to the area of the floor and ceiling (600 sq. ft), the total painted surface area would be 1230 sq. ft.
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)
1 answer