The maximum area of the convex polygon formed by joining the points A(0, 0), B(2t2,0), C(18,2), and E(0,2), where and interior angle at vertex B is greater than or equal to 90° is _______ .
Slope of BC is
Now, area of polygon ABCDE
= area of trapezium ABCE + area of triangle CDE
So, required maximum area is 54 sq. units.