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vazorg [7]
2 years ago
10

GAMING In a video game, the user navigates a character across an unknown land using a map. On the map, the distance between the

character’s home and the store is 2 centimeters, the distance between the health food store and the dungeon is 8 centimeters, and the distance between the first dungeon and the character’s home is 7 centimeters. If the actual distance between the store and the dungeon is 4 kilometers, how far will the character have to travel in the game to visit all three destinations and return to their starting point?
Mathematics
1 answer:
soldi70 [24.7K]2 years ago
6 0

The question is an illustration of scale drawing

The character have to travel 8.5 km in the game to visit all three destinations and return to their starting point

<h3>How to calculate the actual distance</h3>

The distance on the map are given as:

A =2 cm

B = 8 cm

C = 7 cm

The total distance on the map would be:

Total =2cm + 8cm + 7cm

Total =17cm

The actual distance between the store and the dungeon is 4 kilometers.

This means that:

B' =4km

So, we have:

Scale = B : B'

Scale = 8cm : 4km'

Represent the required actual distance with x.

So, we have:

17cm : x = 8cm : 4km

Express as fraction

\frac{x}{17} = \frac 48

Multiply both sides by 17

x = \frac 48 * 17

x = 8.5

Hence, the actual distance travelled is 8.5 km

Read more about scale drawing at:

brainly.com/question/24579126

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