# 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 # 7 #. If the angle between sides A and C is #pi/4 #, what is the area of the parallelogram?

The area of the parallelogram is equal to the cross product of the vectors representing,

Given a parallelogram has side with

Angle between

Required Area,

Definition and Principles:

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To find the area of the parallelogram, we can use the formula: Area = base × height. The base of the parallelogram is the length of one of its sides, and the height is the perpendicular distance between the base and the opposite side.

Given that sides A and B have a length of 2 units each and sides C and D have a length of 7 units each, and the angle between sides A and C is π/4, we can use trigonometry to find the height of the parallelogram.

Using the sine function, we can find the height (h) as follows: sin(π/4) = h/7 h = 7 * sin(π/4) h = 7 * (1/√2) h = (7√2) / 2

Now, we have the height of the parallelogram. To find the area, we multiply the base (2 units) by the height: Area = 2 * (7√2) / 2 Area = 7√2 square units.

So, the area of the parallelogram is 7√2 square units.

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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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