Question

1. 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?
Scale factor is 1x2=2
8x2/1=16 length of 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.

Answer 1

Explanation:

b) 1- scale factor from the first map to the second map:

`(8)/(6)` = 1.33

2- landmark on the first map is a triangle with side lengths of 3 mm, 4 mm, and 5 mm.

Side lengths of the landmark on the second map

Divide the length by scale factor:

side lengths of 3 mm:
`(3)/(1.33)` = 2.25 mm

side lengths of 4 mm:
`(4)/(1.33)` = 3.007 mm

side lengths of 5 mm:
`(5)/(1.33)` = 3.75 mm