If A=(2,4) and B=[3, 5), find A∩B.
We have A=(2,4)={x:xϵR,2<x<4}
B=[3,5)={x:xϵR,3≤x<5}
Clearly, A∩B={x:xcϵR,3≤x<4}=[3,4)
Find the area of a parallelogram ABCD if three of its vertices are A (2, 4), B (2+√3,5) and C (2, 6).