jasminecurringt
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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

Respuesta :

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

Our answer is 2,125,000 km.

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)

[tex]x=\frac{8.5*250000}{1}\\x=2125000 cm[/tex]

converting that distance to km

[tex]2125000 cm\\\\[/tex]

100 cm=1m

1000m=1 km

so

[tex]x=2125000 cm*(\frac{1\ m}{100\ cm})*(\frac{1 km}{1000 m} )\\ x=21.25 km[/tex]

x=21.25 km

have a great day.

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