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Answer:
Area of trapezoid = 67.6 square units
Step-by-step explanation:
Area of a trapezoid is given by the expression,
Area of the trapezoid =
Here, and
are the parallel sides of the given trapezoid.
And '' = Height between the parallel sides
From the given triangle ABE,
m(∠ABE) = m(∠ABC) - m(∠EBC)
m(∠ABE) = 120° - 90°
= 30°
By applying cosine rule in the given triangle,
cos(30°) =
BE = units
By applying sine rule in ΔABE,
sin(30°) =
AE = 3 units
Length of
Length of [AE = FD, since given trapezoid ABCD is an isosceles trapezoid]
Height between the parallel sides
Area of the trapezoid =
=
=
= 67.6 square units
