Final answer:
After surrounding her bulletin board with ribbon, Mrs. Habib will have 22.15 feet of ribbon remaining. The board's perimeter was calculated and subtracted from the total length of ribbon she had.
Step-by-step explanation:
The subject matter of the question pertains to the application of mathematics to deal with measurements and calculations of length. Specifically, it asks about subtracting the length of ribbon required for a bulletin board from a total initial length to determine how much ribbon remains.
To solve this, we first need to calculate the total perimeter of the board by adding together twice the height and twice the width: 2 × 3.75 feet (for the height) plus 2 × 8.3 feet (for the width). This equals 7.5 feet plus 16.6 feet, which is 24.1 feet. Then we subtract this amount from Mrs. Habib's initial length of ribbon to find out how much she will have left: 46.25 feet subtract 24.1 feet, which equals 22.15 feet of ribbon remaining.