A common size for a driveway in a suburban village is 75 feet long by 30 feet wide. Does a larger driveway that is 105 feet long by 42 feet wide have the same ratio of width to​ length?

Question content area bottom
Are the ratios​ proportional?

Yes

No

1 answer

Yes

To determine if the ratios of width to length are the same for both driveways, we can simplify the ratios for each driveway.

For the first driveway (75 feet long by 30 feet wide):
Ratio of width to length = 30/75 = 0.4

For the second driveway (105 feet long by 42 feet wide):
Ratio of width to length = 42/105 = 0.4

Since the ratios of width to length for both driveways are the same (0.4), we can say that the larger driveway also has the same ratio of width to length as the smaller driveway. Therefore, the ratios are proportional.