Ageometry student wants to draw a rectangle inscribed in a semicircle of radius of 8. if one side must be on the semicircle's diameter, what is the area of the largest rectangle that the student can draw?

For the answer to the question above, let's start with the whole circle.
Let's assume that the maximum possible area of a rectangle inscribed in a complete circle is achieved when the rectangle is a square. 

D= Circle's Diameter = 16 
square's area = (D^2) / 2 = 256/2 =128 
Imagine we want to break the circle into two semicircles, the square would be divided into two rectangles which would have the maximum possible area. 
rectangle's area = square's area / 2 = 128/2 = 64

The theme of social protest remained a consistent focus for jacob lawrence throughout his career. in the 1960s lawrence was inspired by news reports and photographs, including images of segregated lunch counter sit-ins and stories of the   freedom riders in the civil rights movement. from the 1970s onward, lawrence's work focused less explicitly on contemporary social issues.