Answer:
1 : 2.56
Step-by-step explanation:
Since the sign and the banner are similar, their ratio of length to width should be the same. Hence, 32/45 = 20/x, with x being the width of the school banner.
32/45 = 20/x
32x = 20*45
x = 900/32
x = 28.125 inches
Now, we can calculate the area of the school banner and the sign:
Area of school banner:
28.125 * 20 = 562.5 square inches
Area of sign:
32 * 45 = 1440 square inches
Hence, the ratio of the area of banner to the area of sign is:
562.5 : 1440
1 : 2.56
Hope this helped!