This trapezoid has been divided into two right triangles and a rectangle. How can the area of the trapezoid be determined using the area of each shape?

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The area of the triangle on the left is
in², the area of the rectangle is
in², and the area of the triangle on the right is
in².

The area of the trapezoid is the sum of these areas, which is
in².

Trapezoid ABCD with parallel sides DC and AB. Points F and E are between D and C. FEBA form a rectangle with 4 right angles. D F is 3 inches, F E is 8 inches., E C is 3 inches., E B is 12 inches., and A B is 8 inches.