To find the area of a right triangle, you can use the formula:
\[ \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} \]
In this case, the base is 4.25 inches and the height is 11 inches. Plugging in these values:
\[ \text{Area} = \frac{1}{2} \times 4.25 \times 11 \]
Calculating \( 4.25 \times 11 \):
\[ 4.25 \times 11 = 46.75 \]
Now divide by 2:
\[ \text{Area} = \frac{46.75}{2} = 23.375 \]
Thus, the area of the right triangle is
\[ \boxed{23.375} \text{ square inches.} \]