Shannon and Leslie need to carpet 272.25 square feet in a room with an entertainment system that takes up 12.25 square feet. Therefore, they need to buy 12.25 square feet of carpet.
Shannon and Leslie are planning to carpet a square room that measures 16.5 feet by 16.5 feet. However, they need to account for an entertainment system that juts out into the room, taking up 3.5 feet by 3.5 feet of space.
A. Area of the space with no carpet:
To determine the area of the space with no carpet, we first calculate the area of the entertainment system:
Area of entertainment system = 3.5 feet * 3.5 feet = 12.25 square feet
Next, we subtract the area of the entertainment system from the total area of the room:
Total area of room - area of entertainment system = area of space with no carpet
272.25 square feet - 12.25 square feet = 260 square feet
Therefore, the area of the space with no carpet is 260 square feet.
B. Carpet needed for the room:
To calculate the amount of carpet Shannon and Leslie need to buy, we simply subtract the area of the space with no carpet from the total area of the room:
Total area of room - area of space with no carpet = area of carpet needed
272.25 square feet - 260 square feet = 12.25 square feet
Shannon and Leslie need to buy 12.25 square feet of carpet.