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 20ft 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
To find the surface area of the room that needs to be painted, we need to calculate the surface area of the walls, ceiling, and floor separately and then add them all together.
1. Surface area of the walls:
- Two walls are 20ft long and 9ft high, so the total area of these two walls is 2(20ft x 9ft) = 360 sq ft
- Two walls are 15ft long and 9ft high, so the total area of these two walls is 2(15ft x 9ft) = 270 sq ft
- So, the total surface area of the walls is 360 sq ft + 270 sq ft = 630 sq ft
2. Surface area of the ceiling:
- The ceiling is 20ft x 15ft = 300 sq ft
3. Surface area of the floor:
- The floor is 20ft x 15ft = 300 sq ft
Summing up all the areas:
630 sq ft (walls) + 300 sq ft (ceiling) + 300 sq ft (floor) = 1230 sq ft
Therefore, the total surface area that needs to be painted, including the walls, ceiling, and floor, is 1230 sq ft.