In the figure shown, area of ΔAXS is equal to half the area of the parallelogram PQRS
True
ABRS and PQRS are parallelograms on the same base and between the same parallels. So, they are equal in area.
Triangle AXS and parallelogram ABRS are on the same base and between the same parallels.
So, Area of ΔAXS = 12 (Area of ABRS) = 12 (Area of PQRS)
Hence True.