Question

A square is drawn by joining the midpoints of the given square it has go in the same way and this process continuous infinitely if a side of the first square is 16 cm and the sum of the areas of all the queries

Answer 1

Given , the side of square is 16cm.If you join the midpoint of all sides you will get a square of side 8 cm....If you observe the areas of the squares are in geometric progr ession.

Therefore the sum of areas of the squares after infinite queries is
a/1-r.....where a is the area of first square and r is the common ratio of GP....

So ur answer is ..64/1-1/2
=64/(1/2)
=64×2
=128...




Hope it helps you.