Answer:
48
Step-by-step explanation:
The area of a triangle is base [tex]b[/tex] times height [tex]h[/tex] divided by [tex]2[/tex]. You can use the first triangle to solve for the height: [tex]9\cdot h/2=27[/tex] means that [tex]h=6[/tex]. The larger triangle is proportional to the smaller one. In fact, it is [tex]1.\bar3[/tex] times larger. This means that the height of the larger triangle is [tex]6\cdot1.\bar3=8[/tex]. Putting all of this together, you can then calculate the area: [tex]12\cdot8/2=48[/tex].
