The length of a fence on a scale drawing is 6cm. If the scale is 1cm: 4 m, what is the actual length of the fence.

A10m

B.18 M

C24 M
D48 M

Please show work..Not for a cheat but I am struggling understanding proportions and algebra. Thank you

Verified Answer :

the answer is C if the scale is 1cm:4m 4x6 is 24

Answer:  Option 'C' is correct.

Step-by-step explanation:

Since we have given that

Length of a fence on a scale drawing = 6 cm

Scale = 1 cm : 4 m

Let the actual length of the fence be x

Since there is direct variation between the scale and actual.

According to ratio, we will have,

\(\frac{1}{4}=\frac{6}{x}\\\\x=6\times 4\\\\x=24\ m\)

Hence, Option 'C' is correct.