Veronica's 14th birthday. She wanted to make over her bedroom. The first phase in the bedroom makeover is painting her room. If monica's room is twenty feet long , fifteen feet wide and nine feet high , find the surface area of the room that you're going to paint including the floor and feeling
To find the surface area of the room that needs to be painted, including the floor and ceiling, we need to find the total area of all six sides of the room.
1. Floor:
Area of floor = Length x Width
Area of floor = 20 ft x 15 ft
Area of floor = 300 square feet
2. Ceiling:
Area of ceiling = Length x Width
Area of ceiling = 20 ft x 15 ft
Area of ceiling = 300 square feet
3. Side walls (2):
Area of each side wall = Length x Height
Area of each side wall = 20 ft x 9 ft
Area of each side wall = 180 square feet
Total area of both side walls = 2 x 180 square feet
Total area of both side walls = 360 square feet
4. End walls (2):
Area of each end wall = Width x Height
Area of each end wall = 15 ft x 9 ft
Area of each end wall = 135 square feet
Total area of both end walls = 2 x 135 square feet
Total area of both end walls = 270 square feet
Now, add up the areas of all sides to get the total surface area that needs to be painted:
Total surface area = Floor area + Ceiling area + 2(Side wall area) + 2(End wall area)
Total surface area = 300 + 300 + 360 + 270
Total surface area = 1230 square feet
Therefore, Veronica will need to paint a total surface area of 1230 square feet in her room makeover.