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Answer:
74.1 units²
Step-by-step explanation:
Area of the trapezoid shown = ½×(AD + BC)×BE
Use distance formula, to find AD, BC, and BE.
✍️Distance between A(-9, 4) and D(9, 1):
(nearest tenth)
✍️Distance between B(-4, -3) and C(2, -4):
(nearest tenth)
✍️Distance between B(-4, -3) and E(-3, 3):
(nearest tenth)
✔️Area of the trapezoid:
Area = ½×(AD + BC)×BE
Plug in the values into the formula
Area = ½×(18.2 + 6.1)×6.1
Area = ½×(24.3)×6.1
Area = 74.115 ≈ 74.1 units² (nearest tenth)