7. Let the complex number $z$ satisfy: the real and imaginary parts of $\frac{z}{10}$ and $\frac{10}{\bar{z}}$ are positive numbers less than 1, then the area of the figure corresponding to the points of $z$ in the complex plane is $\qquad$ .
7. $S=75-\frac{25}{2} \pi$
Let $z=x+y \mathrm{i}$
$$
\left\{\begin{array}{l}
0<\frac{x}{10}<1,0<\frac{y}{10}<1 \\
0<\frac{10 x}{x^{2}+y^{2}}<1,0<\frac{10 y}{x^{2}+y^{2}}<1
\end{array}\right.
$$