40 units2˛ Looking at the figure, the rectangle has the vertexes (2,1), (3,-3), (-5,-5) and (-6,-1). The parallelogram has the vertexes (2,7), (3,3), (3,-3), and (2,1). The area of a parallelogram is base times height. We have 2 vertical lines at x=2 and x=3, so the height is 1. And the length of the line from (3,3) to (3,-3) is 6, so the base is 6. Therefore the area of the parallelogram is 1*6 = 6. The rectangle is a tad trickier since it's not aligned with either the x or y axis. But we can use the Pythagorean theorem to get the lengths. L = sqrt((2 - -6)^2 + (1 - -1)^2) L = sqrt(8^2 + 2^2) L = sqrt(64 + 4) L = sqrt(68) = 2*sqrt(17) W = sqrt((2-3)^2 + (1- -3)^2) W = sqrt((-1)^2 + 4^2) W = sqrt(1 + 16) W = sqrt(17) And the area is length * width, so: 2*sqrt(17)*sqrt(17) = 2 * 17 = 34 And the total area is the sum of the areas, so 34 + 6 = 40 So the area of the figure is 40 square units.