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

Answer 1

Difference between areas of two rhombuses is 37.3272

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

Parker Allen

To find the difference between the areas of the rhombuses, calculate the areas of each rhombus using the formula: Area = (diagonal1 * diagonal2) / 2. Then subtract the area of the rhombus with the larger angle from the area of the rhombus with the smaller angle. The difference between the areas of the rhombuses is approximately 5.09 square units.

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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.