The side of a given square is 10 cm. The midpoints of its sides are joined to form a new square.
Channel: Doubtnut
Date: 2020-04-19

The side of a given square is 10 cm. The midpoints of its sides are joined to form a new square. Again, the midpoints of the sides of this new aquare are joined to form another square. The process is continued indefinitely. Find (i) the sum of the areas and (ii) the sum of the perimeters of the squares.