Question

If you join the midpoints of the sides a square whose area is 36cm square,the area of the new square formed will be​

Answer 1

Answer:

Let the side of the first square be , so its area will be ;

Next square will have the diagonal equal to , so its area will be ;

And so on.

So the areas of the squares will form infinite geometric progression: , , , , , ... with common ration equal to .

For geometric progression with common ratio , the sum of the progression is , where is the first term.

So the sum of the areas will be .

ans. b

Answer 2

Answer:

ANSWER

Side of big square is 4

side of next square is

2

2

+2

2

=2

2

and so on

Sum of area of squares is 4

2

+(2

2

)

2

+(2)

2

+(

2

)

2

+⋯=

1−

2

1

16

=32