Latest Elitmus Aptitude Question SOLUTION: A hexagon of side a cm is folded along its edges to obtain another hexagon What is the % decrease in the area aof orignal hexagon

• Placement Papers
• /
• Elitmus
• /
• Logical Reasoning
• /
• Seating Arrangement

Elitmus Question Papers:

(#M40155482) ELITMUS Logical Reasoning question Geomtery Keep an EYE

A hexagon of side a cm is folded along its edges to obtain another hexagon
What is the % decrease in the area aof orignal hexagon

Asked In Elitmus Shashank Saha (8 years ago)

Unsolved Read Solution (4)

Is this Puzzle helpful?   (13)   (7) Submit Your Solution Seating Arrangement

Read Solution (4) :

Subhrata Patra  (7 years ago)

when its folded along its edges.. how it forms another hexagon.? please explain

Is this solution Helpfull? Yes (10) | No (2)  

suraj kumar  (8 years ago)

75% is answer
As we know, area of hexagon is = (3√3)(a^2)/2
now lets take a=2
then area = 6√3
after fold it will side become half ; a=1
new area = 1.5√3
percentage= 6√3/ 1.5√3* 100=25 %
so decrease in area =100 - 25=75%

Is this solution Helpfull? Yes (6) | No (9)  

Prayosha panchal  (8 years ago)

area of hexagon=3√3 /2 * a^2

that means area is proportional to square of side a. If we decrease the size by x , then area will be
= 3√3 /2 * (a-x)^2

that means decrease will be =( 3√3 /2 * a^2) -(3√3 /2 * (a-x)^2)
% decrease= ((a^2)-(a-x)^2) / a^2

Is this solution Helpfull? Yes | No (5)  

prashant  (5 years ago)

assume side= 4
initial area=(3*sqrt(3)*a^2)/2 =41.3923
after fold side=2
The area folded = 6* area of each triangle
=6((2*2*sin(120))/2)
=10.3923
decrease in area= (10.3923/41.5692)*100
=25%

Is this solution Helpfull? Yes | No   

Please Login to Read Solution.