Question

3.) A map is made of a park. The scale from the park to the map is 6 mi. To 1 cm. The length of Great Oaks Trail is 4.5 cm on this map. The scale from the same park to a different map is 8 mi. To 1 cm. The length of Salamander Trail is 3.5 cm on that map. Which is the longer trail, the Great Oaks Trail or the Salamander Trail?

Answer 1

Salamander Trail is longer than The Great Oaks Trail.

Explanation:

Scale factor =
`\frac{\text{Dimensions of the park on map}}{\text{Actual dimensions of the park}}=(1)/(6)`

For the actual length of Great Oaks Trail,

`\frac{4.5}{\text{Actual length of the Great Oaks Trail}}=(1)/(6)`

Actual length of Great Oaks Trail = 27 mi

Scale for the same park to the different map =
`(1)/(8)`

`\frac{\text{Length of Salamander Trail on map}}{\text{Actual length of Salamander Trail}}=(1)/(8)`

`\frac{3.5}{\text{Actual length of Salamander Trail}}=(1)/(8)`

Actual length of Salamander Trail = 8 × 3.5 = 28 mi.

Therefore, Salamander Trail is longer than The Great Oaks Trail.