Question

You are a house flipper who has just purchased a house and you are eager to fix it up so that you can put it back on the market. For one project, you plan to put wallpaper in both the family room and the living room. You will not put wallpaper across any of the doorways.

1.) Write an expression or equation that represents the number of square feet of wallpaper you will need if the height of the family room is X feet, with length and width that are each three times the height of the room. The family room has one door, which is 3 ft wide and 7 ft tall.

2.) Write the expression or equation for the amount of wallpaper in square feet you need to cover the living room, which is the same height and width as the family room but has a length that is 5 times greater than the height. The living room has two doors.

Answer 1

To calculate the amount of wallpaper needed, use the formula (length + width) * height - area of doors. For the family room, the expression is (3X + 3X) * X - 3 * 7. For the living room, the expression is (5X + 3X) * X - 2 * (3 * 7).

Step-by-step explanation:

To calculate the amount of wallpaper needed for the family room, we need to find the area of the walls. The length and width of the family room are both three times the height of the room, so the length is 3X and the width is 3X. The total area of the walls is (length + width) * height - area of the door. Substituting the given values, the expression is (3X + 3X) * X - 3 * 7.

For the living room, the length is 5 times the height, and the width and height are the same as the family room. So the area of the walls is (length + width) * height - 2 * area of the doors. The expression for the living room is (5X + 3X) * X - 2 * (3 * 7).