To find the area of a rectangle, you multiply its length by its width. In this case, the dimensions of the rectangle are 38 meters and 46 meters.
Area \( = \text{length} \times \text{width} = 38 , \text{m} \times 46 , \text{m} \)
Calculating the area:
\[ 38 \times 46 = 1748 , \text{m}^2 \]
Thus, the area of the rectangle is \( 1748 , \text{m}^2 \).
As a fraction in simplest form, this area can be expressed as:
\[ \frac{1748}{1} \]
So the final answer is:
Numerator: 1748
Denominator: 1