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 feet long 15 feet wide and 9 feet high find the surface area of the room that you are going to paint, including the floor and the ceiling.
First, we need to calculate the surface area of the walls. To do this, we will find the area of each wall and then add them together.
The room has 4 walls:
2 walls that are 20 feet long and 9 feet high (one 20 ft x 9 ft wall on each side of the room)
2 walls that are 15 feet long and 9 feet high (one 15 ft x 9 ft wall on each end of the room)
Area of the 20 ft x 9 ft wall = 20 ft x 9 ft = 180 sq ft
Area of the 15 ft x 9 ft wall = 15 ft x 9 ft = 135 sq ft
Total area of the 4 walls = 2(180 sq ft) + 2(135 sq ft) = 540 sq ft
Next, we calculate the surface area of the ceiling and floor.
The ceiling is 20 ft x 15 ft = 300 sq ft
The floor is 20 ft x 15 ft = 300 sq ft
Total surface area to be painted = 540 sq ft (walls) + 300 sq ft (ceiling) + 300 sq ft (floor) = 1140 sq ft
Therefore, the total surface area of the room that needs to be painted is 1140 square feet.