Respuesta :

Answer:

  • 72 square units

Step-by-step 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