Answer:
The expression is equal to [tex]\frac{150}{4^{2}}[/tex]
The area of the scale drawing is [tex]9.375\ ft^{2}[/tex]
Step-by-step explanation:
we know that
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 actual room
y-----> the area of the scale drawing
so
[tex]z^{2}=\frac{x}{y}[/tex]
we have
[tex]z=4[/tex]
[tex]x=150\ ft^{2}[/tex]
substitute and solve for y
[tex]4^{2}=\frac{150}{y}[/tex]
[tex]y=\frac{150}{4^{2}}=9.375\ ft^{2}[/tex]
