Question

A map is made of a park. The scale from the park to the map is 36 mi to 6 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 24 mi to 3 cm. The length of salamander trail is 3.5 cm on that map. Which is the longer trail, great oaks trail or salamander trail?

Answer 1

Salamander trail is longer than great oaks trail.

Explanation:

We have the data from two different maps of the same park.

In the first map the length of great oaks trail is 4.5 cm

The scale from the park to the map is 36 mi to 6 cm ⇒

We can find the real length of great oaks trail writing the following equivalence :

`(36mi)/(6cm)=(x)/(4.5cm)`

Where x is the real length of great oaks trail ⇒

`x=((36mi).(4.5cm))/(6cm)=27mi`

We find that the real length of great oaks trail is 27 mi

In the second map the length of salamander trail is 3.5 cm

The scale from the park in the second map is 24 mi to 3 cm.

Again we can find the real length of salamander trail writing the equivalence :

`(24mi)/(3cm)=(y)/(3.5cm)`

Where y is the real length of salamander trail ⇒

`y=((24mi).(3.5cm))/(3cm)=28mi`

We find that the real length of salamander trail is 28 mi.

Therefore salamander trail is longer than great oaks trail.