First, you must observe the figure and realize that you have a parallelogram and a rectangle. Therefore, the total area will be the sum of the area of the parallelogram plus the area of the rectangle. Palelogram area: A1 = b * h We have then b = root ((- 4 - (- 10)) ^ 2+ (2-2) ^ 2) = 6 h = root ((- 7 - (- 7)) ^ 2+ (3-2) ^ 2) = 1 A1 = (6) * (1) = 6 units ^ 2 Rectangle area A2 = L * W We have then: L = root ((1 - (- 2)) ^ 2 + (- 3 - (- 4)) ^ 2) = 3.16227766 W = root ((- 4 - (- 2)) ^ 2+ (2 - (- 4)) ^ 2) = 6.32455532 A2 = (3.16227766) * (6.32455532) A2 = 20 units ^ 2 The total area is the sum of both ares: A = A1 + A2 A = 6 + 20 A = 26 units ^ 2 Answer: the area of this figure A = 26 units ^ 2
