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Find the area of the quadrilateral
To find the area of the quadrilateral, we need to divide it into two triangles and calculate the area of each triangle.
First, we need to find the base and height of each triangle. Let's call the base of the first triangle x and the height y.
The area of the first triangle is:
Area1 = 1/2 * x * y
Now, for the second triangle, the base would be (10 - x) and the height would still be y.
The area of the second triangle is:
Area2 = 1/2 * (10 - x) * y
The total area of the quadrilateral would be the sum of the areas of both triangles:
Total Area = Area1 + Area2
Total Area = 1/2 * x * y + 1/2 * (10 - x) * y
Total Area = 1/2 * [(x + 10)*y]
Total Area = 1/2 * (10) * 12
Total Area = 60 square units
Therefore, the area of the quadrilateral is 60 square units.