# A parallelogram has sides A, B, C, and D. Sides A and B have a length of #2 # and sides C and D have a length of # 6 #. If the angle between sides A and C is #(7 pi)/18 #, what is the area of the parallelogram?

12

Therefore, the area of the parallelogram is 12 square units.

By signing up, you agree to our Terms of Service and Privacy Policy

The area of the parallelogram can be calculated using the formula:

[ \text{Area} = \text{Base} \times \text{Height} ]

where the base is the length of one of the sides, and the height is the perpendicular distance between the base and its opposite side.

Given that sides A and C are adjacent sides of the parallelogram, the length of side A is 2, and the angle between sides A and C is ( \frac{7\pi}{18} ), the height of the parallelogram can be found using the sine of the angle.

[ \text{Height} = \text{Side A} \times \sin(\text{angle}) ]

[ \text{Height} = 2 \times \sin\left(\frac{7\pi}{18}\right) ]

Once the height is found, the area can be calculated as:

[ \text{Area} = \text{Base} \times \text{Height} ]

[ \text{Area} = 6 \times \left(2 \times \sin\left(\frac{7\pi}{18}\right)\right) ]

[ \text{Area} = 12 \times \sin\left(\frac{7\pi}{18}\right) ]

By signing up, you agree to our Terms of Service and Privacy Policy

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.

- Why is every rectangle a quadrilateral?
- If all four sides of a quadrilateral are congruent will the angles be congruent too?
- A parallelogram has sides with lengths of #15 # and #12 #. If the parallelogram's area is #45 #, what is the length of its longest diagonal?
- Two opposite sides of a parallelogram each have a length of #3 #. If one corner of the parallelogram has an angle of #(2 pi)/3 # and the parallelogram's area is #18 #, how long are the other two sides?
- How many lines of symmetry does a parallelogram have?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7