# I've seen it before - 6

Geometry Level 5

If $$ABCD$$ is a square with side $$18\text{ cm}$$ and $$E, F, G, H$$ are the midpoints of $$AB, BC, CD, DA$$ repectively, then join $$A$$ to $$G$$ and $$F$$, $$B$$ to $$G$$ and $$H$$, $$C$$ to $$H$$ and $$E$$, $$D$$ to $$E$$ and $$F$$. An octagon is formed from the intersection of these lines, then the area of the octagon (the shaded region in the figure) is

Note:-

• The Octagon may or may not be a regular.

• You can find more such problems here