Elitmus
Exam
Numerical Ability
Area and Volume
ABCD is a square having mid points E,F,G & H respectively.
I , J are the mid-points of HG & GF.
K is a point on EF such that KF= 1/3(EF).
what is the ratio of area of ABCD to the area of triangle IJK?
Read Solution (Total 10)
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- 5:48
area of IJK=1/2*a/2*5a/12
area of ABCD=a^2 - 10 years agoHelpfull: Yes(9) No(2)
- 1/6root2
by taking the diagram,,,using the side as 'a' of a square.. u can solve it easily - 10 years agoHelpfull: Yes(4) No(0)
- 48:5 will be correct answer,,,..suppose ab=bc=cd=da=6sqrt2,then area of square=72unit^2
then ef=fg=gh=he=6 unit
take a mid point on ef as o.....
join as per question ijk...
now,join i and taken point o
you will be able to identify three small right angle triangle
area of ijk=area of iofg-sum of area of(iok,ifj,ijg)=(6*3)-(3+3+4.5)=18-10.5=7.5.......(all values and notation are in sequence here)
ratio of area of abcd to area of ijk=72/7.5=48:5.....enjoyyyyyyyyyy
- 10 years agoHelpfull: Yes(2) No(2)
- Are E,F,G and H mid points of each side?
- 10 years agoHelpfull: Yes(0) No(0)
- i think answer is=9/32
- 10 years agoHelpfull: Yes(0) No(0)
- @PIJUSH
yes they are the mid points of AB, BC, CD & DA - 10 years agoHelpfull: Yes(0) No(0)
- @NISHANT...plz explain yr
- 10 years agoHelpfull: Yes(0) No(0)
- Answer is 7/24......s_naveen46@yahoo.com on Facebook.... For
- 10 years agoHelpfull: Yes(0) No(0)
- @nishant pls explain how height of triangle=sa/12
- 10 years agoHelpfull: Yes(0) No(0)
- ans is 48:5
- 7 years agoHelpfull: Yes(0) No(0)
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