Asap lots of points and brainiest!
kate printed two maps of a walking trail
in a nearby park
show this is very important!
q1: what is the scale factor from the trail on the map to the actual trail? (map 1)
q2: what is the length of the actual trail? (map 1)
q3: what is the scale factor from the first map to the second map?
q4: what are the side lengths of the landmark on the 2nd map? how do you know?

Answers: See each part below.

1) The scale factor on Map 1 is 1cm = 2 km. It is given in the key in the bottom right corner.

2) The length of the trail would be 16 km. Since each cm is 2 km, we multiply the 8 by 2 to get a total of 16.

3) The scale factor from the first map to the second map is 0.75. To find this we can write and solve the following equation to determine the change from Map 1 to Map 2. 

8k = 6
k = 0.75

4)  To find the lengths of the sides of the landmark, just change the mm into cm and use the scale factor for each.

5 mm is 0.5 cm. 0.5 x 2 = 1 km
3 mm is 0.3 cm. 0.3 x 2 = 0.6 km
4 mm is 0.4 cm. 0.4 x 2 = 0.8 km