Sidney is traveling from the grocery store to the bank. There are two possible routes she can take, marked yellow and green in the diagram. Which statement is true?

the route is a square with a line in the middle the distance of the line in the middle is unknown. the bottom part of the square is 3 miles then the left side of the square is 4 miles then you arrive at bank

what is the distance of the line in the middle

The green path is half the distance of the shorter path.

The yellow path and green path are the same distance.

The yellow path is double the distance of the green path.

The green path is 2 miles shorter than the yellow path.

The green path is half the distance of the shorter path.

how do you know that is correct explain why

From the information provided in the description, it is stated that the bottom part of the square (which represents the yellow path) is 3 miles and the left side of the square (which represents the green path) is 4 miles. Since the green path is the shorter route, its distance is 4 miles.

The statement "The green path is half the distance of the shorter path" is true because 4 miles (green path) is half of 8 miles (yellow path), which makes the green path half the distance of the yellow path. Therefore, the green path is indeed half the distance of the shorter path, which is the yellow path.

the yellow path is 7 miles long the green path is unknown so you ae wrong

I apologize for the mistake. Thank you for clarifying the correct distances. Based on the corrected information:

The yellow path is 7 miles long.
The green path is 4 miles long.

Therefore, the statement "The green path is half the distance of the shorter path" is not correct in this case. Instead, the green path is shorter than the yellow path by 3 miles.

I apologize for the confusion in my initial response and thank you for pointing out the correct information.

the yellow path is 7 miles long the length of the green path is unknown so you are wrong

I apologize for the confusion in my previous responses. Given that the length of the yellow path is 7 miles and the length of the green path is unknown, the statement "The green path is half the distance of the shorter path" cannot be determined with the information provided.

I appreciate your patience and the clarification of the distances mentioned in the original description. Thank you for pointing out the correct details.