Answer:
75 cm^2
Step-by-step explanation:
We have the lengths of two corresponding sides. The scale factor from the large triangle to the small triangle is 16/64 = 1/4. Each side of the smaller triangle is 1/4 times the length of the corresponding side of the large triangle.
For the areas, the scale factor is the square of the scale factor of the lengths. Area scale factor = 1/4^2 = 1/16.
The area of the small triangle is 1/16 the area of the large triangle.
area of small triangle = (area of large triangle) * (area scale factor)
area of small triangle = 1200 cm^2 * 1/6 = 1200 cm^2/16
area of small triangle = (1200 cm^2)/16 = 75 cm^2
