George from the Manchester office has a road atlas with a scale of 1 cm : 10 km. How far does he have to travel to the Sheffield office if the distance on the map is 4.5 cm?

\[ \text{Distance} = [\ \ \ ] \text{ km} \]

The answer is 45km because times 10 and 4.5 which gets 45

Answered by deathstrike001 | 2024-06-10

If the **distance **on the map is 4.5 cm, then he has to **travel **to the Sheffield **office **will be 45 km.
What is dilation?
**Dilation **is the process of **increasing **the size of an item **without **affecting its form. Depending on the **scale **factor, the object's size can be **raised **or lowered .
There is **no **effect of dilation on the angle .
George, from the **Manchester **office, has a **road **atlas which has a scale of 1 cm: 10 km.
1 cm ⇒ 10 km
Then the **scale **factor will be 10 km / cm.
If the **distance **on the map is 4.5 cm, then he has to **travel **to the Sheffield **office **will be
4.5 cm ⇒ 4.5 x 10 km
4.5 cm ⇒ 45 km
If the **distance **on the map is 4.5 cm, then he has to **travel **to the Sheffield **office **will be 45 km.
More about the dilation link is given below.
https://brainly.com/question/2856466
#SPJ5

Answered by jainveenamrata | 2024-06-25

George needs to travel 45 km to reach the Sheffield office based on the distance of 4.5 cm on the map and the scale of 1 cm : 10 km. By multiplying the map distance by the scale factor, we find the real-world distance. The calculation shows that 4.5 cm on the map translates to 45 km of actual travel.
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Answered by jainveenamrata | 2024-09-05