Question

A rectangular school banner has a length of 54 inches and a width of 36 inches. A sign is made that is similar to the school banner and has a length of 17 inches. What is the ratio of the area of the school banner to the area of the sign? $$

Answer 1

For rectangular school banner we have:
 A1 = (54) * (36)
 A1 = 1944 in ^ 2

 For sign:
 For the width we have the following relationship:
 (w) / (36) = (17) / (54)
 Clearing w:
 w = ((17) / (54)) * (36)
 w = 11.33333333
 Therefore, the sign area is:
 A2 = (11.33333333) * (17)
 A2 = 192.6666667 in ^ 2
 The ratio of the area of the school banner to the area of the sign is:
 (A1) / (A2) = (1944) / (192.7)
 Answer:
 The ratio of the area of the school banner to the area of the sign is: 
 (A1) / (A2) = (1944) / (192.7)