To find the area of Eloise's mat, we use the formula for the area of a rectangle, which is:
\[ \text{Area} = \text{length} \times \text{width} \]
In this case, the length of the mat is 89 meters and the width is 34 meters.
Calculating the area:
\[ \text{Area} = 89 , \text{meters} \times 34 , \text{meters} \]
To perform the multiplication:
\[ 89 \times 34 = 3026 \]
Therefore, the area of Eloise's mat is 3026 square meters.
Expressed as a fraction, the area can be represented as:
\[ \frac{3026}{1} \]
Since 3026 is already simplified, we can enter the answer as:
3026 (numerator) and 1 (denominator).