Latest Elitmus Aptitude Question SOLUTION: There is a square of side 10cm.If we connect the mid point of the side of the square.it forms another square.What is the value of the perimeter of the 9th square inside it.?

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(#M40114522) ELITMUS Numerical Ability question APTITUDE Keep an EYE

There is a square of side 10cm.If we connect the mid point of the side of the square.it forms another square.What is the value of the perimeter of the 9th square inside it.?

Asked In Elitmus BRAJ BHUSHAN SINGH (9 years ago)

Solved k.s.n.kranthi kumar Read Solution (9)

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SANDEEP REDDY BHEEMI REDDY  (9 years ago)

1sq square-10 cm
3rd square-(10/2)-5cm
5th square-(5/2)-2.5 cm
7th sqaure-(2.5/2)-1.25 cm
9th sqaure-1.25/2 cm
Permieter-4*(1.25/2)=2.5

Is this solution Helpfull? Yes (24) | No (6)  

k.s.n.kranthi kumar  (9 years ago) Best Solution

the formula for the side of nth square is x/root 2 power n-1 where n is the 9 here & x is the side of square & perimeter of square is 4* side

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Anubhav jain  (9 years ago)

9th Square inside it means 10th Square including outer one if it is so ans should be 2.5/root2.

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muddisetty hemalatha  (9 years ago)

formula is side/sqr 2^(n-1)

so 10/sqr(2^8)=10/16=5/2=2.5

Is this solution Helpfull? Yes (4) | No (2)  

Maheswar  (9 years ago)

if the side of 1st square is 10
then 3rd square is its half mean=5
so 9th square is =1.25
so the perimeter is =1,25*4=5

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lakshmi aparna  (9 years ago)

the side of ninth square becomes 5/8.
so the perimeter = 4*(5/8)=2.5

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muddisetty hemalatha  (9 years ago)

formula is side/sqr (2^(n-1))
so 10/sqr(2^(9-1))
then we get 10/16; and then we want perimeter so 4*(10/16)=2.5

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bharathkumar  (9 years ago)

if we connect the mid points then we can get 4 squares (inside big square) . if we do connect mid points of 4 squares we get 14 squares(inside big square) then calculate the perimeter of any square that is 10cm(2.5*4)
(he asked about 9th but all squares in side big square are same so we need not consider whether it is 1st r 2nd r any sqr )

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swati  (7 years ago)

let the side of 1st square be 'a' then side of inside square by pythagorus theorem is
a/root(2),similarly, side of next square is 'a'/2 that is sides are in G.P
a,a/root(2),a/2,a/2root(2)...so 9th term give side of 9th square..
t9th=a*r^n-1
=10*1/root(2)^9-1=5/8
so...perimeter=4*5/8=2.5

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