Find area of irregular 6 sided polygon (only by sdies)

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I have to find area of 6 sided irregular polygon, and I have no angle here. Is there a trick to find the area with this image information? enter image description here

I got stuck on this problem. There is some online calculator for this reason but they need to out information as triangles.( But I do not know $AC,CE ,...$

Thanks for any help in advance.

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For full triangulation we need $2n-3$ dimensions in a plane. ( $n$ is number of vertices or joints or nodes). Less than this number we have a mechanism with the vertices as hinges.

When $n=6$ we need 9, so three more dimensions (side lengths and/or angles) are needed without which a construction is impossible.

Static indeterminacy in Trusses

$$ m=2 j-3 $$

This relation determines static indeterminacy in pin jointed trusses. Less than this $j$ the truss is statically indeterminate as in the given case of a mechanism ($ 2j-3=9$). More than this it is redundant, and is said to define the degree of freedom.

Unless the degree of freedom is zero area cannot be found.