Two rhombuses have sides with lengths of #9 #. If one rhombus has a corner with an angle of #(3pi)/8 # and the other has a corner with an angle of #(7pi)/12 #, what is the difference between the areas of the rhombuses?

Answer 1

Difference in areas of the Rhombuses 3.4056

Area of rhombus #= (1/2) * d_1 * d_2 or a * h#
Where #d_1 , d_2 # are the diagonals, a is the side and h is the altitude.

In this case we will use the formula Area = a * h.

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Answer 2

James Atkins

The difference between the areas of the two rhombuses is ( \frac{81}{4}\sqrt{2} - \frac{81}{4}\sqrt{3} ) or ( \frac{81}{4}(\sqrt{2} - \sqrt{3}) ).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.