Math, asked by jhaayush2011, 21 days ago

In the figure above, midpoints of the sides of a square are joined to form another smaller square, and the same process is repeated 1000 times. If the area of the smallest square is 100km², what is the area of the largest square?​

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Answered by palakudatewar03
1

Answer:

Side of the square is 10cm

So, area of square =100cm

2

Now Area of second Square is = 21

× area of first square=50cm 2

Area of third square =25cm 2

Clearly 100,50,25... a G.P

With first term (a)=100

and common ration (r)= 21

So, Sum of all square = Sum of G.P to infinity = 1−ra= 1− 21100=200cm 2

Step-by-step explanation:

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