The sides of a square is 6 cm. long. A second square is inscribed by joining the midpoints of the sides of the second square and so on. Find the sum of the areas of the infinite number of inscribed squares thus formed.

A.) 36
B.) 72
c.) 31
D.) 216

Question

The sides of a square is 6 cm. long. A second square is inscribed by joining the midpoints of the sides of the second square and so on. Find the sum of the areas of the infinite number of inscribed squares thus formed.

A.) 36
B.) 72
c.) 31
D.) 216

anonymous · Answer

am struggling to picture this,, can u draw it please?

anonymous · Answer

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anonymous · Answer

got it already ahahahahaha my bad sorry

anonymous · Answer

Yeah that was a easy calculation

anonymous · Answer

thanks for the figure
so the area of the outer square is 36 cm squared
the area of the inner one is 18
and the one inside that  9
then 4.5 , then 2.25 , 1.125, .... so it approacches 72

anonymous · Answer

I used infinite geometric progression to get the answer :D

anonymous · Answer

just out of curiosity what's the formula u used ?