Final answer:
The area of the resized carpet, after cutting 1 1/2 foot from each side, is 24 square feet, which is not listed in the multiple-choice options provided by the student.
Step-by-step explanation:
The student is asking about reducing the size of a rectangular carpet and finding the new area after cutting. The initial dimensions of the carpet are 6 feet by 11 feet, and Eleanor wants to cut 1 1/2 foot from each of the four sides.
Firstly, we need to calculate the amount that will be removed from each dimension. For both the length and the width, we subtract 1 1/2 feet twice (once for each side).
- New length = 11 feet - (1 1/2 feet x 2) = 11 - 3 = 8 feet
- New width = 6 feet - (1 1/2 feet x 2) = 6 - 3 = 3 feet
Next, we calculate the area of the modified carpet by multiplying the new length and width.
New area = New length x New width = 8 feet x 3 feet = 24 square feet
Therefore, the correct option for the area of the resized carpet is not listed in the choices provided, as they are all greater than 24 square feet. It appears there may have been a misunderstanding or mistake in the question or the options given.