10. (6 points) As shown in the figure, the area of the small square is 1, then the area of the shaded part in the figure is



保留了源文本的换行和格式，这里的翻译结果已经直接输出。
【Answer】Solution: Half-grid number: 27
Whole-grid number: 24
$$
\begin{array}{l}
24+27 \div 2 \\
=24+13.5 \\
=37.5
\end{array}
$$

Answer: The area of the shaded part in the figure is 37.5. Therefore, the answer is: 37.5.