Final answer:
To find the cost of carpeting a room, convert the room dimensions from feet to yards and then calculate the area in square yards. Multiply the area by the cost per square yard to find the total cost. The calculated cost of $107.40 does not match any of the provided options, suggesting a possible typo in the question or answers.
Step-by-step explanation:
The question involves finding the cost of carpeting a room, which is based on area calculations in mathematics. To calculate the cost, first, we need to convert the room dimensions from feet to yards, since carpet pricing is given per square yard. There are 3 feet in a yard, so the room is 12 feet / 3 feet per yard = 4 yards long and 9 feet / 3 feet per yard = 3 yards wide.
Next, we calculate the area of the room in square yards by multiplying the length and width in yards: 4 yards × 3 yards = 12 square yards. Now we multiply the area by the cost per square yard: 12 square yards × $8.95 per square yard = b. However, as this total is not one of the given options, we need to review our calculation.
It appears there may have been an error in the provided options or the question itself, as the correct cost calculated does not match any of the options given (A) $286.20, (B) $358.50, (C) $214.20, (D) $250.65. Therefore, it's possible that there's a typo in the question or the answer choices provided. The correct approach to finding the solution has been demonstrated, which involves area calculation and unit conversion from feet to yards.