Answer:
33 1/3 = Area of the large
Explanation:
The scale factor between the small and large triangle is 3:5 or 3/5
When we go from side length to area, the scale factor becomes squared
(3/5) ^2 = 9/25
Using proportions
area of small 9
-------------------- = ----------------
area of large 25
We know the area of the small is 12
12 9
-------------------- = ----------------
area of large 25
Using cross products
12*25 = 9* area of large
Divide each side by 9
12*25/9 = 9/9* area of large
33 1/3 = Area of the large