Latest Elitmus Aptitude Question SOLUTION: ABCD is a square. E,F,G,H is the midpoint of the sides of square. J and K is the midpoint of the sides HG and FG . L is a point on sides EF such that LF= 1/3 EF. Find the ratio of

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(#M40157910) ELITMUS Numerical Ability question Geometry Keep an EYE

ABCD is a square. E,F,G,H is the midpoint of the sides of square. J and K is the midpoint of the sides HG and FG . L is a point on sides EF such that LF= 1/3 EF. Find the ratio of area of triangle JKL to the area of square ABCD.

Asked In Elitmus Pawan kumar (7 years ago)

Unsolved Read Solution (11)

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Read Solution (11) :

Ankit gupta  (7 years ago)

ratio :- 1:8

Is this solution Helpfull? Yes (8) | No (2)  

Aakash kesarwani  (7 years ago)

ratio = 5: 48

Is this solution Helpfull? Yes (3) | No (4)  

avnish dubey  (7 years ago)

root 13:24 root 2

Is this solution Helpfull? Yes (3) | No (2)  

Arindita Saha  (7 years ago)

let AB= a
area of ABCD=a^2
FG=HG=EF=root(DG^2+HD^2)= root((a/2)^2+(a/2)^2)= root(a^2/4+a^2/4)= a/root2
JG=GK= a/2root2
JK= root((a/2root2)^2+(a/2root2)^2)= a/2
LF=EF/3
KL= root(a^2/8+(a/6root2)^2)= a (root5)/6
area of JKL=1/2*JK*KL= 1/2*a/2*a root5/6= a^2 root5/24
ratio=root5 : 24

Is this solution Helpfull? Yes (2) | No (1)  

SHAVALA NANDEESHWARUDU  (7 years ago)

Let the side of square be 'a'
Length of KJ=a/root(2)
Area of triangle=(1/2)(a/root2)(a/3(root2))=a^2/12
Area of Square=a^2
Ratio=1:12

Is this solution Helpfull? Yes (1) | No (8)  

jitendra idpache  (7 years ago)

Ratio= 5:48

Is this solution Helpfull? Yes (1) | No (1)  

SHREYASH ANAND  (7 years ago)

ans: 1/6

Is this solution Helpfull? Yes | No (2)  

Radhika Upadhyay  (7 years ago)

1:32

Is this solution Helpfull? Yes | No (3)  

Naveen babu  (7 years ago)

please explain solution please

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DARSHIT RAJ  (7 years ago)

Here LF = 1/3 * EF
NOW,EF=ROOT(EB SQUARE + BF SQUARE)
= a/root(2)
So,
LK=ROOT(LF SQUARE + KF SQUARE)
= (a*root26)/12

Area of triangle= 1/2 * base(lk) * height(jk)
(a square* root 13)/24
So ratio = root 13 : 24

Is this solution Helpfull? Yes | No (6)  

Lavish Jain  (7 years ago)

ratio = 5:48

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