Question

Помогите, пожалуйста <3

Answer 1

$AC= \sqrt{AD^2+DC^2}=\sqrt{4^2+4^2}=4\sqrt2\\\\tg60^\circ =\frac{CC_1}{AC}\; \; \to \; \; CC_1=AC\cdot tg60^\circ =4\sqrt2\cdot \sqrt3=4\sqrt6\\\\S_{poln.}=S_{bok.}+2\, S_{osnov.}=4\cdot (4\sqrt6\cdot 4)+2\cdot (4\cdot 4)=\\\\=64\sqrt6+32=32\cdot (2\sqrt6+1)$