He i need someone to check my answer. and you?

one needs to find the area of the orange shaded region. then one must find the area of the purple/blue shaded region. then one needs to subtract the area of the orange region from the area of the purple/blue region. once they get the answer to that, one must add the answer to the area of the orange region's area. they will then get their answer for the area.

is that correct?