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What is the area of the quadrilateral?

To find the area of the quadrilateral, we can divide it into two triangles.

First we find the area of triangle with base of 5 units and height of 3 units.
Area = 1/2 * base * height
Area = 1/2 * 5 * 3
Area = 7.5 square units

Second we find the area of triangle with base of 3 units and height of 4 units.
Area = 1/2 * base * height
Area = 1/2 * 3 * 4
Area = 6 square units

The total area of the quadrilateral is the sum of the two triangles.
Total Area = 7.5 + 6
Total Area = 13.5 square units

Therefore, the area of the quadrilateral is 13.5 square units.