Answer :
Given that;
The blueprint shows an apartment with an area of 15 square inches.
With scale
1 inch : 8 feet
Recall that;
Area of a square is;
[tex]\text{A}=l^2[/tex]Let l represent the length of the side on the blueprint;
The actual length will be;
[tex]\begin{gathered} 8\times l\text{ fe}et \\ 8l\text{ f}eet \end{gathered}[/tex]So, the actual Area will be;
[tex]\begin{gathered} A_f=(8l)^2 \\ A_f=64l^2 \\ A_f=64A\text{ square f}eet \end{gathered}[/tex]substituting the valuye of the blueprint Area;