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