Answer:
Option a) 62.2 square feet
Step-by-step explanation:
we know that
The dilation is a non-rigid transformation that produces similar figures
If two figures are similar, then the ratio of its areas is equal to the scale factor squared
Let
z ----> the scale factor
x ----> the area of the large shape
y ----> the area of the small shape
so
[tex]z^{2}=\frac{x}{y}[/tex]
we have
[tex]z=\frac{4}{3}[/tex]
[tex]y=35\ ft^2[/tex]
substitute
[tex](\frac{4}{3})^{2}=\frac{x}{35}[/tex]
[tex]\frac{16}{9}=\frac{x}{35}[/tex]
solve for x
[tex]x=\frac{16}{9}(35)=62.2\ ft^2[/tex]
