George is putting insulation in the walls of a rectangular room. The side walls are 10 feet high and 12 feet wide. The 2 long walls are 10 feet high and 14 feet wide. The doorway is 4 feet wide and 7 feet tall.
Part A: Find the total area of the side walls and the long walls before accounting for the door.
Part B: Find the total area of the doorway.
Part C: Subtract the area of the doorway from the total area of the four walls to determine how much insulation George will need

Answer:

Step-by-step explanation:

Part A: To find the total area of the side walls and the long walls before accounting for the door, we need to calculate the area of each wall and then add them together.

Area of side walls = 2 * height * width = 2 * 10 ft * 12 ft = 240 square feet

Area of long walls = 2 * height * width = 2 * 10 ft * 14 ft = 280 square feet

Total area of side walls and long walls = Area of side walls + Area of long walls = 240 sq ft + 280 sq ft = 520 square feet

Part B: To find the total area of the doorway, we simply multiply its width and height.

Area of doorway = width * height = 4 ft * 7 ft = 28 square feet

Part C: To determine how much insulation George will need, we subtract the area of the doorway from the total area of the four walls.

Insulation needed = Total area of walls - Area of doorway = 520 sq ft - 28 sq ft = 492 square feet