I tried to solve this problem by finding the area of the rectangle and the area shared by both semicircle. My difficult is how to find the area of the created by the two semicircles. Is my approach wrong?
Two semicircles are inscribed in a rectangle as shown so their diameters are opposite sides of the rectangle. What is the probability that a point randomly selected inside the rectangle will also be inside both semicircles? Express your answer as a decimal rounded to the nearest hundredth.