Question

The length of the side of square is ‘a’ metre A

second square is formed by joining the middle

points of the sides of the squares. Then a third

square is formed by joining the middle points of

the sides of the second squares and so on. Then the

sum of the area of squares which carried upto

infinity is ​

Answer 1

Answer:-

=the area of square of side a

is a2the side of the square

formed by joining the midpoints of original square is 2aso

the area of the second square is 2a2similarly,

area of the third square formed the same way is  

4a2the sum of areas of all those squares is an

infinite geometric series with first term as a2 and

common ratio as 1/2so the sum is equal to  

1−common ratiofirst term=2a2

Answer 2

Step-by-step explanation:

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