question_answer

In the following figure, ABCD is a square and\[\Delta \,AFB\],\[\Delta \,BGC\], \[\Delta \,CHD\], and \[\Delta \,DEA\] are four isosceles triangles. Find the sum of area of the square \[\Delta \,BCD\text{ }+\text{ }\Delta \,FKB\text{ }+\text{ }\Delta \,DIH.\]

A)  \[32\,c{{m}^{2}}\]                 

B)  \[24\,c{{m}^{2}}\]

C)  \[64\,c{{m}^{2}}\]                 

D)  \[80\,c{{m}^{2}}\]

E)  None of these