Final answer:
To calculate the area of a rectangular field measuring 6 3/4 m by 4 1/3 m, convert the mixed numbers to improper fractions and multiply them to get the area, which is 29.25 square meters.
Step-by-step explanation:
The question involves finding the area of a rectangular field given its length and breadth. The first step is to convert the mixed numbers into improper fractions. The length 6 3/4 meters is converted to 27/4 meters, and the breadth 4 1/3 meters is converted to 13/3 meters.
The area is then calculated by multiplying the length by the breadth:
Area = Length × Breadth
Area = (27/4) m × (13/3) m
Area = (27 × 13) / (4 × 3)
Area = 351/12 m²
Area = 29.25 m²
Therefore, the area of the rectangular field is 29.25 square meters.