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Airida [17]
3 years ago
13

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

Mathematics
1 answer:
Nutka1998 [239]3 years ago
8 0

Answer:

  • 72 square units

Step-by-step explanation:

Consider the figure as the difference of a trapezoid and a rectangle.

<u>Area of the trapezoid:</u>

  • 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

<u>Area of the rectangle:</u>

  • l = 5 - (-2) = 7 units
  • w = -1 - (-5) = 4 units
  • A = lw = 4*7 = 28 square units

<u>Area of the figure:</u>

  • 100 - 28 = 72 square units
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