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 :

Question

eimsori [14]

2 years ago

14

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

Mathematics

2 answers:

larisa86 [58] · Answer 1 · 2022-08-19T14:02:25+03:00

larisa86 [58]2 years ago

6 0

For this problem, we can put the scales and measurements into fractions along with a variable. We have $\frac{1}{250,000} = \frac{8.5}{x}$ .
From here, we can easily cross-multiply. $8.5 * 250,000 = 2125000$

Our answer is 2,125,000 km.

Margaret [11] · Answer 2 · 2022-08-19T16:01:58+03:00

Answer:

21.25 km

Step-by-step 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)

$x=\frac{8.5*250000}{1}\\x=2125000 cm$

converting that distance to km

$2125000 cm\\\\$

100 cm=1m

1000m=1 km

so

$x=2125000 cm*(\frac{1\ m}{100\ cm})*(\frac{1 km}{1000 m} )\\ x=21.25 km$

x=21.25 km

have a great day.