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Find the area of the composite shape below.

The area of quadrilateral ABCD is______________ square units.

Find the area of the composite shape below. The area of quadrilateral ABCD is______________ square-example-1
User A Santosh
by
4.7k points

1 Answer

14 votes

Answer:

25 square units

Explanation:

Draw a segment from point B to point (3, 0). Call point (3, 0) point E.

Now you have a trapezoid, ABED, with parallel sides AD and BE, and a triangle, BEC. We find the area of the trapezoid and the area of the triangle and add then together.

total area = area of trapezoid + area of triangle

total area = (B + b)h/2 + bh/2

total area = (4 + 3)(6)/2 + 2(4)/2

total area = 21 + 4

total area = 25

Answer: 25 square units

User Anion
by
5.7k points
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