# A parallelogram has sides A, B, C, and D. Sides A and B have a length of #1 # and sides C and D have a length of # 8 #. If the angle between sides A and C is #(3 pi)/4 #, what is the area of the parallelogram?

Area of parallelogram is

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

To find the area of the parallelogram, you can use theThe area of the parallelogram is 7 square units.To find the area of the parallelogram, you can use the formulaThe area of the parallelogram is 7 square units.To find the area of the parallelogram, you can use the formula:

Area = base * height

Since the base of the parallelogram is the length of side A (1) and the height is the perpendicular distance between side A and side C, you can find the height using trigonometry.

The height can be calculated using the formula:

height = side B * sin(angle between sides A and C)

Given that side B has a length of 1 and the angle between sides A and C is (3π)/4, you can calculate the sine of the angle.

sin((3π)/4) = √2 / 2

Now, plug in the values:

height = 1 * (√2 / 2) = √2 / 2

Now, you have the base and the height, so you can find the area:

Area = base * height Area = 1 * (√2 / 2) = √2 / 2 square units

So, the area of the parallelogram is √2 / 2 square units.

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.

- Two rhombuses have sides with lengths of #8 #. If one rhombus has a corner with an angle of #pi/2 # and the other has a corner with an angle of #(3pi)/8 #, what is the difference between the areas of the rhombuses?
- A parallelogram has sides with lengths of #7 # and #16 #. If the parallelogram's area is #28 #, what is the length of its longest diagonal?
- Two opposite sides of a parallelogram each have a length of #12 #. If one corner of the parallelogram has an angle of #(5 pi)/12 # and the parallelogram's area is #150 #, how long are the other two sides?
- A parallelogram has sides with lengths of #18 # and #4 #. If the parallelogram's area is #36 #, what is the length of its longest diagonal?
- How can you make a quadrilateral rigid?

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