# Percentage increase in the length of pendulum

I'm struggling with a physics question :

What should be the percentage increase in the length of the chord of a pendulum for the period increased by 1%?

I tried with $w = 2 \pi/T = \sqrt{ g/L}$ but no success.

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It's not 1%. Imagine you successfully increase the side length by 1%. Then because area is the square of side length, it increased by a factor $1.01^2 = 1.0201$, or roughly 2%. You must increase the area by 2% to increase the side length by 1%.