Answer:
[tex]103 ft^{2}[/tex]
Step-by-step explanation:
The dimensions of the figure are 3in x 5.5 in.
However, it's represented with an scale of 1:30, which means that the real representation of each dimension would be
[tex]length=\frac{1\times3}{30\times3}=\frac{3}{90}[/tex]
So, the real length is 90 inches per 3 inches on the map.
[tex]width=\frac{1\times5.5}{30\times5.5}=\frac{5.5}{165}[/tex]
This means that the real width is 165 inches per 5.5 inches on the map.
If we transform each dimension to feet, we would have
[tex]90in\frac{1ft}{12in}=7.5ft \\165in\frac{1ft}{12in}=13.75ft[/tex]
Now, the area the rectangle is defined as
[tex]A=wl[/tex]
Where [tex]w[/tex] is width and [tex]l[/tex] is length.
Using this measures in feet units, we have
[tex]A=(7.5ft)(13.75ft)\approx 103 ft^{2}[/tex]
Therefore, the right answer is the last choice [tex]103 ft^{2}[/tex]
