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Answer:
The area of parallelogram is 30.9 ft²
Step-by-step explanation:
Definition of parallelogram and its area
The area of a parallelogram is defined as the region or space covered by a parallelogram in a two-dimensional plane. A parallelogram is a special kind of quadrilateral. If a quadrilateral has two pairs of parallel opposite sides, then it is called a parallelogram.
Let the sides of a parallelogram a, b and height h.
Now the area of parallelogram= a*h
given data are
angle between two sides =107°
and sides are a=8.5 feet and b=3.8 feet
The height of the parallelogram [tex]h= bsin\alpha[/tex]
now height [tex]h= 3.8*sin107\\h=3.634 feet[/tex]
Now the area of parallelogram = 8.5*3.634
Now the area of parallelogram=30.9 ft²
To know more about it click on given link
https://brainly.com/question/23318204
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