Rare and Meer Puzzle

[K Sengupta]

Determine the value of each of the four perfect squares MEER, EMMA, EMIR and RARE, where each of the capital letters denotes a different digit from 0 to 9. None of the four numbers contains any leading zero.

[Edgardo]

a=5 e=1 i=9 m=2 r=6
emma=1225 meer=2116 emir=1296 rare=6561
sqrt(emma)=35.0 sqrt(meer)=46.0 sqrt(emir)=36.0 sqrt(rare)=81.0