# Fence and scale

The garden with 80 m of fencing is draw on plan as a square with a side length of 4 cm. At what scale is this plan made?

Result

M = (Correct answer is: 1/500)

#### Solution:

$o=80 \ \text{m} \ \\ a_{2}=4/100=\dfrac{ 1 }{ 25 }=0.04 \ \text{m} \ \\ o_{2}=4 \cdot \ a_{2}=4 \cdot \ 0.04=\dfrac{ 4 }{ 25 }=0.16 \ \text{m} \ \\ m=o/o_{2}=80/0.16=500 \ \\ M=1:500$

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