self Maths Puzzle

a square with side 5cm mid pt of the sides are joined to form another square if this process is repeated find perimeter of 9th square

Read Solution (Total 3)

perimeter OF 5 CM SQUARE IS 4*5=20 CM. MID POINT OF THE SQUARE IS 2.5. SO 2 SQUARE perimeter IS 10 CM. 2nd SQUARE perimeter IS HALF OF THE FIRST SQUARE. SO 20/2/2/2/2/2/2/2/2=0.078125
11 years agoHelpfull: Yes(1) No(0)

side of the square is 5cm
side of 9th square=5/256=0.01953
perimeter=4*side=0.078125
11 years agoHelpfull: Yes(1) No(0)
forming the square from midpoints if the 1st squ gives the
side of 2nd squ=(5/2)* sqrt(2) by using Pythagoras rule
in the same way to get 9th square side=(5)/(2*8/sqrt(2))= (5*sqrt(2))/16

to get perimeter multiply with 4 gives (5*sqrt(2))/4=1.7677
11 years agoHelpfull: Yes(0) No(1)

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