Final answer:
a. Legal and Junior legal paper sizes are similar. b. Government-letter paper is similar to letter paper. c. Legal paper size with increased shorter side is not similar to junior legal paper size.
Step-by-step explanation:
a. Paper sizes similar to each other have the same aspect ratio, which means that the ratio of their width to their height is the same. Let's compare the aspect ratios of the given paper sizes:
- Letter: aspect ratio = 11/8.5 = 1.294
- Legal: aspect ratio = 14/8.5 = 1.647
- Junior legal: aspect ratio = 8/5 = 1.6
- Tabloid: aspect ratio = 17/11 = 1.545
Based on these calculations, we can see that Legal and Junior legal have similar aspect ratios, with only a small difference. Therefore, these paper sizes are similar.
b. Since the dimensions of government-letter paper are each 0.5 inch less than the dimensions of letter paper, the aspect ratio of government-letter paper would still be the same as letter paper. Thus, government-letter paper is also similar to letter paper.
c. By increasing the shorter side of legal paper by an inch, its new dimensions would be 8.5 inches by 15 inches. Let's calculate the aspect ratio: aspect ratio = 15/8.5 = 1.765. This aspect ratio is different from the aspect ratio of junior legal paper, so the two sizes are not similar.