A square is drawn by joining the mid points of the sides of a given square in the same way and this process continues indefinitely. If a side of the first square is 4 cm, determine the sum of the areas all the square.	Choose the correct choice from the following options
A) 32 Cm2 B) 16 Cm2 C) 20 Cm2 D) 64 Cm2 E) None of these
Solution: Side of the first square is 4 cm.   side of second square = 2 √2 cm.   Side of third square = 2 cm.   and so on. i.e. 4, 2 √, 2, √2, 1 ......   Thus, area of these square will be,   = 16, 8, 4, 2, 1, 1/2 ....... Hence, Sum of the area of first, second, third square ......   = 16+8+4+2+1+ .....   = [16/{1-(1/2)}] = 32 Cm2.   32 Cm2nswer: Option 32 Cm2
<result>A</result>
A square is drawn by joining the mid points of the sides of a given square in the same way and this process continues indefinitely. If a side of the first square is 4 cm, determine the sum of the areas all the square.