What is the area of parallelogram abcd?

The area of a parallelogram is the measure of the two-dimensional space enclosed by the four sides of the parallelogram. It is expressed in square units.

To find the area of parallelogram ABCD, you need to know the length of one of its base and the corresponding height or altitude. The base can be any of the two parallel sides of the parallelogram, and the height is the perpendicular distance between the base and the opposite side.

Once you have the base and the height, you can calculate the area using the formula: Area = base × height.

Alternatively, you can also find the area of a parallelogram by using the magnitude of the cross product of two adjacent sides. If vectors AB and AD are adjacent sides of the parallelogram, then the area of ABCD can be calculated using the formula: Area = |AB × AD|, where |AB × AD| represents the magnitude of the cross product.

Knowing the length of the base and the height, or using the length of adjacent sides, you can determine the area of parallelogram ABCD.