trinityburke005
trinityburke005 trinityburke005
  • 21-05-2021
  • Mathematics
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Determine the area of the figure on the coordinate grid. Round to the nearest hundredth if needed

Determine the area of the figure on the coordinate grid Round to the nearest hundredth if needed class=

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mhanifa
mhanifa mhanifa
  • 21-05-2021

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
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