Pia printed two maps of a walking trail. the length of the trail on the first map is 8 cm. the length of the trail on the second map is 6 cm. (a) 1 cm on the first map represents 2 km on the actual trail. what is the scale factor from the map to the actual trail? what is the length of the actual trail? (b) a landmark on the first map is a triangle with side lengths of 3 mm, 4 mm, and 5 mm. what is the scale factor from the first map to the second map? what are the side lengths of the landmark on the second map? show your work.

Two trail maps:

Trail on the first map is 8 cm

Trail on the second map is 6 cm

Scale on first map is 1 cm : 2 km

A. What is the scale factor from the map to the actual trail? 

For the first map, the scale factor is 1 cm: 2km. Therefore the actual trail is 8 centimeters * 2 kilometers = 16 km. 

The scale factor of the second map is 16 km / 6 cm = 2.67 km : 1 cm 

B. The length of the actual trail is 16 kilometers. 

answer: 177/8

step-by-step explanation:

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet