If each side of a regular polygon with \(n\) sides is increased by 10%, how is its perimeter affected?
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → It increases by 10%
The perimeter of a regular polygon is \(n\) × side. The number of sides does not change, so the perimeter changes in the same proportion as the side.
Old perimeter \(=na\)
New side \(=1.1a\), so new perimeter \(=n\times1.1a=1.1\,na\)
Increase \(=0.1\,na\), which is 10% of the old perimeter