Let d denote the set of points that are interior to, or on the boundary of, a square with opposite vertices at the points (0, 0) and (1, 1). Let
Q( A) = LJ dy dx.
(a) If A c d is the set {(x,y) : 0 x y 1}. compute Q( A).
(b) If A c d is the set {(x,y) : 0 x = y 1}, compute Q( A) .
(c) If A c d is the set {(x, y) : 0 x/ 2 y 3x/ 2 1}, compute Q(A).