An interior designer wants to place this bed in a home, and she is especially concerned about the headboard, which is 6 feet wide and 5 feet tall.
She’ll place the headboard on a wall that is 7 feet wide and 9 feet tall.
what is the area of the space that will remain after she places the bed against the wall.
To find the area of the space that will remain after placing the bed against the wall, we need to subtract the area occupied by the bed (specifically the headboard) from the area of the wall.
First, let's calculate the area of the headboard:
Area of the headboard = Width of the headboard × Height of the headboard
Area of the headboard = 6 feet × 5 feet
Area of the headboard = 30 square feet
Next, let's find the area of the wall:
Area of the wall = Width of the wall × Height of the wall
Area of the wall = 7 feet × 9 feet
Area of the wall = 63 square feet
Finally, subtract the area of the headboard from the area of the wall to find the remaining space:
Remaining space = Area of the wall - Area of the headboard
Remaining space = 63 square feet - 30 square feet
Remaining space = 33 square feet
Therefore, the area of the space that will remain after placing the bed against the wall is 33 square feet.
area of headboard = 6(5) ft^2
area of wall = 7(9) ft^2
take the difference of the two.