exam Maths Puzzle Numerical Ability

the frequency(F) of vibration of a string varies inversely with the length(L). knowing that a rope 15 cm long vibrates at a frequency of 128 v/s, what would be the length of a string vibrates at 192 v/s?

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I havea Question that is really giving me a hard time. Please Help.
Finf the length of each side of the rectangle so that it has a perimeter of 50. One side is 2x-5 and one side is x. I need a proof for the HL theorem.