We can write the scale factor in decimal form:
[tex]30\%=\frac{30}{100}=\frac{3}{10}[/tex]Then, since the image is created with a scale factor of 3/10, the new perimeter is:
[tex]\frac{3}{10}(15)=\frac{3\cdot15}{10}=\frac{45}{10}=4.5[/tex]therefore, the new perimeter is 4.5 inches