question_answer

A set of concentric squares are shown in the figure given below. If the side of the innermost square is \[\sqrt{2}\,\,m,\]and if the distance between the corresponding corners of any two successive squares is 1 m, then find the difference between the areas of the eighth and the seventh square, counting from the innermost square.

A)  \[30\,\,{{m}^{2}}\]    

B)  \[25\,\,\sqrt{2}\,\,{{m}^{2}}\]

C)  \[35\,\,{{m}^{2}}\]                

D)  \[20\,\sqrt{2}\,{{m}^{2}}\]

E)  None of these