Question

Question : A map of the city is made using the scale 1 cm = 18 m. If the park in the city is 90 m long,

what is its length in the map?

Answer 1

`\bf \large \longrightarrow \: (1)/(18) \: * \: (x)/(90) \\`

Now , Cross Multiplying

`\bf \large \longrightarrow \: \: 18x \: = \: 90`

`\bf \large \longrightarrow \: \:x \: = \: (90)/(18) \\`

`\bf \large \longrightarrow \: \:x \: = \: \cancel(90)/(18) \: ^(5) \\`

`\bf \large \longrightarrow \: \:x \: = \: 5`

Hence , the length of map is 5 cm.

Answer 2

5 cm

Explanation:

We can use a ratio to solve

1 cm x cm

------- = ---------

18 m 90 m

Using cross products

1 * 90 = 18x

Divide each side by 18

90/18 = 18x/18

5 =x

5 cm