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 into the formula gives:
\[ \text{Area} = \frac{1}{2} \times 4.25 \times 11 \]
Calculating it step-by-step:
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Calculate \(4.25 \times 11\): \[ 4.25 \times 11 = 46.75 \]
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Now multiply by \(\frac{1}{2}\): \[ \text{Area} = \frac{1}{2} \times 46.75 = 23.375 \]
So, the area of the right triangle is
\[ \boxed{23.375} \text{ square inches.} \]