Question

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?

Answer 1

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

How to calculate the actual distance

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

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