Question

What is the area of this figure?

Answer 1

Palelogram area:
 Knowing the base and the height, the area of the parallelogram is calculated by its formula:
 A1 = b * h
 Where
 b: base
 h: height.
 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
 Where
 L: long
 W: Wide
 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