Answer: 9/16
Step-by-step explanation:
Using the area formula for a triangle, [tex]A=\frac{1}{2}bh[/tex], where b is the base and h is the height,
- The area of triangle ABC is [tex]\frac{1}{2}(12)(9)=54[/tex]
- The area of triangle ABD is [tex]\frac{1}{2}(12)(16)=96[/tex]
So, the ratio of the areas is [tex]\frac{54}{96}=\boxed{9/16}[/tex]
