Final answer:
The area of the rectangle is 16 1/3 square yards, which is obtained by converting the mixed numbers to improper fractions, multiplying them, and simplifying the result.
Step-by-step explanation:
The question asks us to calculate the area of a rectangle with dimensions 4 2/3 yards by 3 1/2 yards. To calculate the area, we multiply the length by the width. First, we convert these mixed numbers to improper fractions, where 4 2/3 becomes (14/3) yards and 3 1/2 becomes (7/2) yards. The multiplication of these two fractions gives us (14/3) * (7/2) = (98/6) square yards. To simplify, we divide 98 by 6, yielding 16 with a remainder of 2, which gives us 16 2/6 square yards. Simplifying the fraction 2/6 results in 1/3, so the area is 16 1/3 square yards.
Therefore, the correct answer is C. 16 1/3 sq yd.