Final answer:
To find the area of one part of the room, calculate the total area by multiplying the length and width and then divide by 3. The calculated area does not match any of the options provided, suggesting a possible error in the question or options.
Step-by-step explanation:
The question involves calculating the area of one of the three equal parts of a rectangular room that measures 12 1/2 feet by 15 1/3 feet. To find the area of the whole room, we multiply the length by the width:
Area of the room = (12 1/2) * (15 1/3) feet2
First, we convert the mixed fractions to improper fractions:
Area of the room = (25/2) * (46/3) feet2
Now, multiplying these fractions:
Area of the room = (25 * 46) / (2 * 3) square feet
Area of the room = 1150 / 6 square feet
Area of the room = 191 2/3 square feet
To find one part, we divide the total area by 3:
One part = (191 2/3) / 3 square feet
One part = (575/3) / 3 square feet
One part = 575/9 square feet
One part = 63 8/9 square feet
However, none of the given options (a, b, c, d) match this result, indicating that there might be an error in the question or the options provided.