As shown in the figure, the top and bottom of a ladder are 3.6 decimeters long. If you add a triangle with a bottom of 6.4 decimeters and an area of 6.4 square decimeters, it will become a parallelogram. What is the area of this trapezoid?

Area of triangle = bottom * height / 2
6.4*h/2=6.4 h=2
Parallelogram and triangle equal height
Area of parallelogram = base * height
=（3.6+6.4）*2
=20
Trapezoid area = parallelogram area triangle area
=20-6.4
=13.6 square decimeters

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