a) The ratio of the perimeters is the same as the scale factor, so the ratio is the perimeters is 2/3.
b) The perimeter of triangle ABC is [tex]36\left(\frac{3}{2} \right)=\boxed{54 \text{ ft}}[/tex]
c) The ratio of the areas is the scale of the scale factor. In this case, the ratio is [tex](2/3)^{2}=\boxed{4/9}[/tex]
d) The area of FDE is [tex]36(4/9)=\boxed{16 \text{ ft}^{2}}[/tex]
