Item 20 a rectangular school banner has a length of 48 inches and a width of 30 inches. a sign is made that is similar to the school banner and has a length of 15 inches. what is the ratio of the area of the school banner to the area of the sign?

The ratio of the area of the school banner to the area of the sign is  256 : 25

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, according to the ratio of length and width, the equation will be......

So, the width of the sign is 9.375 inches.

Formula for area of rectangle 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:    

expression #3 is not equivalent. the others are.