snowsister81 snowsister81
  • 04-04-2021
  • Mathematics
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Find the area of the trapezoid. Round your answer to the nearest hundredth.

Find the area of the trapezoid Round your answer to the nearest hundredth class=

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akposevictor
akposevictor akposevictor
  • 09-04-2021

Answer:

42.50 units²

Step-by-step explanation:

Area of the trapezoid = ½(AB + DC)×AD

AB = 6

DC = 11

AD = ?

Use trigonometric function, TOA to find AD:

Tan 45 = Opp/Adj

Opp = AD

Adj = 11 - 6 = 5

Tan 45 = AD/5

5 × tan 45 = AD

AD = 5

✔️Find Area of trapezoid.

Area = ½(AB + DC)×AD

= ½(11 + 6)×5

= 42.50 units²

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