The area of the parallelogram ABCD is 184. Point E is the midpoint of the ABC side. Find the area of the trapezoid EBCD.

univerkov | March 2, 2021 | education

Let us give the height of the parallelogram ЕН, which will also be the height DEBC.

Then Savsd = DC * EH = 184 cm2.

By condition, the segment AE = BE = AB / 2 = DC / 2.

The area of the trapezoid is equal to: Sdevs = (EB + DC) * EH / 2 = 1.5 DC * EH / 2.

DC * EC = 184, then Sdews = 1.5 * 184/2 = 138 cm2.

Answer: The area of the trapezoid is 138 cm2.

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