Perimeter of a regular octagon of side 6 cm is 36 cm.
Why is the statement false?
1) A regular octagon has 8 equal sides.
2) Perimeter = sum of all side lengths.
3) For a regular polygon: Perimeter = (number of sides) × (length of one side).
Number of sides = 8
Length of one side = 6 cm
So,
\[ 8 \times 6 = 48 \]
\[ \text{Perimeter} = 48\,\text{cm} \]
The statement says the perimeter is 36 cm, but we found 48 cm, so the statement is false.
Quick check (optional): If the perimeter were 36 cm, then each side would be
\[ 36 \div 8 = 4.5\,\text{cm} \]
which is not 6 cm. Hence, the claim is incorrect.