ANSWER
111.3 square units.
EXPLANATION
The formula for calculating the area of a triangle is.
[tex]Area = \frac{1}{2} \times base \times height[/tex]
Let us the side of the triangle with side 12 units to be the base of the triangle.
Then the height of the triangle can be determined from the diagram using trigonometry.
[tex] \sin(68 \degree) = \frac{height}{20 } [/tex]
[tex]height = 20 \sin(68 \degree) [/tex]
[tex] height = 18.54[/tex]
We now plug in the values in to the formula to obtain,
[tex]Area = \frac{1}{2} \times 12 \times 18.54[/tex]
[tex]Area = 111.3 \: square \: units[/tex]
See graph
