Answer:
Explanation:
Consider the figure as the difference of a trapezoid and a rectangle.
Area of the trapezoid:
- a = 3 - (-2) = 5 units
- b = 9 - (-6) = 15 units
- h = 5 - (-5) = 10 units
- A = (a + b)h/2 = (5 + 15)(10)/2 = 100 square units
Area of the rectangle:
- l = 5 - (-2) = 7 units
- w = -1 - (-5) = 4 units
- A = lw = 4*7 = 28 square units
Area of the figure:
- 100 - 28 = 72 square units