Step 1
The original blueprint of the family has a scale of 2inches=5feet
The family wants to use a new blueprint that shows the length of the living room to be 15 inches.
Step 2
The width of the living room is
[tex]\frac{6}{2}\times5=15feet[/tex]
Hence, the length of the living room is
[tex]\frac{9.6}{2}\times5=24feet[/tex]
So the new scale is;
[tex]\begin{gathered} \frac{15}{24}=\frac{5}{8} \\ ie\text{ 5inches=8f}eet \end{gathered}[/tex]
The width of the new print is;
[tex]\begin{gathered} \frac{6}{2}\times5=15feet \\ \frac{15}{8}\times5=9.375inches \end{gathered}[/tex]
Hence the scale of the new print is; 5inches = 8feet
Width of new blue print=9.375inches
