To determine how many square feet of carpeting Carmine will need to cover his family room floor, let's consider the options given and identify the appropriate geometric measure:
A. The volume of the room:
- The volume measures the space inside a three-dimensional object and is not relevant here because carpeting covers a two-dimensional surface, not the entire volume of the room.
B. The surface area of the room:
- The surface area considers all the surfaces (walls, floor, ceiling, etc.) within the room. While this measure includes the floor, it also includes the walls and ceiling, which is not what Carmine needs for carpeting.
C. The perimeter of the floor:
- The perimeter measures the distance around the edge of the floor. This is useful for determining the boundary length, but it does not provide the necessary information about the total surface area that the carpet will cover.
D. The area of the floor:
- The area measures the surface extent of the floor in square units. This geometric measure directly corresponds to how much carpeting is necessary to cover the entire floor surface.
Given these options, the correct measure Carmine needs to find is:
D. the area of the floor
Knowing the area, Carmine can determine the exact amount of carpeting required to cover the family room floor in square feet.
