Answer
225
Work Step by Step
The apothems are proportional, so the apothem of the small regular pentagon is 5 and that of the large regular pentagon is 10. Thus, it follows:
$$ A= \frac{1}{2}(aP) \\ A = \frac{1}{2}((10)(60)-(5)(30)) \\ A =\frac{1}{2}(450) \\ A =225$$