Verified Answer :

You do the difference divided by the original to work out the percentage change so

3/12 x 100 = 25

Therefore the square increased by 25%

A square with side = 12 will have diagonal (use Pythagoras' Theorem)
12^2 + 12^2 = disgonal^2
diagonal^2 = 288
diagonal =



16.9705627485





With side = 15
15^2 + 15^2 = 450
diagonal =



21.2132034356





So the diagonal increases by a factor of



21.2132034356 /
16.9705627485
An increase by a factor of 1.25 exactly