Question

A group of friends are going to a cottage for the weekend and you look at the road map to see where it is. The scale used is 1 : 250,000 The distance measures 8.5 cm on the map. What is the actual distance? km

Answer 1

For this problem, we can put the scales and measurements into fractions along with a variable. We have
`(1)/(250,000) = (8.5)/(x)`.
From here, we can easily cross-multiply.
`8.5 * 250,000 = <span>2125000</span>`

Our answer is 2,125,000 km.

Answer 2

21.25 km

Explanation:

Hello

The numerical scales (E), are also known as scale reasons, the relationship with the size of the map, or a part of it, with its actual size on the ground. Thus, an E of 1: 10,000 means that one unit on the map is equivalent to 10,000 units on the ground.

in the problem we have E=1:250000

which means that one centimeter on the map equals 250000 cm in ground

1 cm (map)⇒250000 cm (ground)

using a rule of three

1 cm (map)⇒250000 cm (ground)

8.5 cm (map) =x cm ( ground)

`x=(8.5*250000)/(1)\\x=2125000 cm`

converting that distance to km

`2125000 cm\\\\`

100 cm=1m

1000m=1 km

so

`x=2125000 cm*((1\ m)/(100\ cm))*((1 km)/(1000 m) )\\ x=21.25 km`

x=21.25 km

have a great day.