Question

Parallelogram ABCD has vertices A (-5, 4), B (3, 4), C (5, -1), and D (-3, -1). Calculate the area of parallelogram ABCD.

Answer 1

To calculate the area of a parallelogram with given vertices, use the distance formula to find the base and height. Then, use the formula Area = base * height. In this case, the area of parallelogram ABCD is 40 square units.

Step-by-step explanation:

To calculate the area of parallelogram ABCD, we can use the formula:

Area = base * height

First, we need to find the base and height of the parallelogram. We can do this by finding the distance between the parallel sides.

Using the distance formula, we find that the base AB has a length of 8 units and the height AD has a length of 5 units.

Therefore, the area of parallelogram ABCD is 8 * 5 = 40 square units.