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? $$

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)