Answer:
<em>The ratio of the area of the school banner to the area of the sign is 256 : 25</em>
Step-by-step explanation:
The school banner has a length of 48 inches and a width of 30 inches.
Suppose, the width of the sign is
inch.
Given that, the sign is similar to the school banner and has a length of 15 inches.
So, <u>according to the ratio of length and width</u>, the equation will be......

So, the width of the sign is 9.375 inches.
<u>Formula for area of rectangle</u> is: 
So, the area of the school banner 
and the area of the sign 
Thus, the ratio of the area of the school banner to the area of the sign will be: 