Sail E0 Webinar
Question


What is the minimum area of quadrilateral ABCD, if the area of a pair of diagonally opposite triangles (Formed by joining the diagonals of the quadrilateral) is 12 and 27 respectively?


Options:
A .   70
B .   73
C .   75
D .   77
Answer: Option C
:
C

Option c


In a quadrilateral, product of area of diagonally opposite triangles is same.


So, the product of other set of opposite triangles will be 12*27


Now, we have to find minimum a and b such that a*b=12*27 and a+b is minimum.


So a = b = 18 (as 12*27 = 324)


Hence the area of the quadrilateral = 18 + 18 + 12 + 27 = 75


 



Was this answer helpful ?

Submit Solution

Your email address will not be published. Required fields are marked *

Latest Videos

Latest Test Papers