Since this is an odd-shaped quadrilateral, there's no convenient area formula we can apply here.
Instead, let's add an extra line to divide the quadrilateral into two TRIANGULAR regions.


Let's find the area of Region #1 first

If we make side AB the base of the triangle, then the height = 10
Area of triangle = (base)(height)/2 = (6)(10)/2 = 30



Now, we'll find the area of Region #2

If we make side AD the base of the triangle, then the height = 4
Area of triangle = (base)(height)/2 = (4)(4)/2 = 8

We get:


TOTAL area of quadrilateral ABCD = 30 + 8 = 38


Answer: 38

Cheers,
Brent

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