A parallelogram has sides A, B, C, and D. Sides A and B have a length of #3 # and sides C and D have a length of # 9 #. If the angle between sides A and C is #pi/12 #, what is the area of the parallelogram?

Answer 1

The area of the parallelogram is #6.99 (2dp) sq. unit#

Sides of parallelogram are #A=B=3 , C=D=9 #
Included angle between sides #A & C# is #theta = pi/12=180/12=15^0#
The area of the parallelogram is #A_p= A*C*sin theta = 3*9*sin15 =6.99 (2dp) #sq.unit [Ans]
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Answer 2

The area of a parallelogram is given by the formula: ( \text{Area} = \text{base} \times \text{height} ).

The base of the parallelogram is the length of one of its sides. In this case, either side A or side C can be considered the base.

Given that the length of side A is 3 and the angle between sides A and C is ( \frac{\pi}{12} ), we can use trigonometry to find the height of the parallelogram, which is the perpendicular distance between sides A and C.

Using the sine function: [ \sin\left(\frac{\pi}{12}\right) = \frac{\text{height}}{3} ] [ \text{height} = 3 \times \sin\left(\frac{\pi}{12}\right) ]

Once we have the height, we can calculate the area using the formula mentioned earlier.

[ \text{Area} = 3 \times 3 \times \sin\left(\frac{\pi}{12}\right) ]

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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.

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.

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.

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.

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