Answer:
the area of the rectangle is 35.25 square meters.
Explanation:
To find the area of a rectangle, we multiply the length by the width.
First, we need to convert the mixed numbers to improper fractions to make the multiplication easier:
4 and 2/4 = 4 + 2/4 = 16/4 + 2/4 = 18/4
7 and 5/6 = 7 + 5/6 = 42/6 + 5/6 = 47/6
Now we can multiply the length and width:
Area = (18/4) * (47/6)
Area = (9/2) * (47/6) (canceling the common factor of 2 between 18/4 and 6 in 47/6)
Area = (9 * 47) / (2 * 6)
Area = 423/12
Area = 35.25
Therefore, the area of the rectangle is 35.25 square meters.