question_answer

Find the area of the given figure (not drawn to scale).      ________

A)  \[200\,c{{m}^{2}}\]           

B)  \[94\,c{{m}^{2}}\] 

C)         \[84\,c{{m}^{2}}\]        

D)         \[100\,c{{m}^{2}}\]                       

Correct Answer: D

Solution :

Area of square \[ABCD={{(6)}^{2}}=36\,c{{m}^{2}}\] Area of rectangle \[CEFG=EF\times EC\] \[=4\times 10=40\text{ }c{{m}^{2}}\] Area of rectangle \[FHIJ=Jl\times HI\]             \[=6\times 2=12\text{ }c{{m}^{2}}\] Area of rectangle \[GKLM=GM\times LM=6\times 2=12\text{ }c{{m}^{2}}\] \[\therefore \] Required area \[=(36+40+12+12)c{{m}^{2}}=100c{{m}^{2}}\]