Given the coordinates of two points, P1 and P2, the distance formula between these two points is deduced. d = root ((x2-x1) ^ 2 + (y2-y1) ^ 2) To find the area of the figure we must first find the area of the rectangle and add the area of the parallelogram. rectangle area A = (L) * (w) L = root ((- 6-2) ^ 2 + (- 1-1) ^ 2) = 8.25 w = root ((- 6 - (- 5)) ^ 2 + (- 1 - (- 5)) ^ 2) = 4.12 A = (8.25) * (4.12) = 33.99 Parallelogram area A = (b) * (h) b = root ((3-3) ^ 2 + (3 - (- 3)) ^ 2) = 6 h = root ((3-2) ^ 2 + (3-3) ^ 2) = 1 A = (6) * (1) = 6 The total area is then Atotal = 33.99 + 6 = 39.99 units ^ 2 Answer the area of this figure is 39.99 units ^ 2
