# Two rhombuses have sides with lengths of #7 #. If one rhombus has a corner with an angle of #pi/12 # and the other has a corner with an angle of #pi/4 #, what is the difference between the areas of the rhombuses?

Difference in area of rhombus = 21.97# sq units

Difference in area = 34.65 - 12.68 = 21.97# sq units

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The difference between the areas of the two rhombuses is ( 21\sqrt{3} - 49 ) square units.

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