Question

In the accompanying diagram, parallelogram ABCD has

vertices A(2, 1), B(8,1), C(11,5), and D(5,5). What is the
area of parallelogram ABCD?

Answer 1

The area of the paralellogram is 24 square units.

Explanation:

Geometrically speaking, the area of the parallelogram has an equation equivalent to the area formula for a rectangle, that is:

`A = b\cdot h` (1)

Where:

`A` - Area.

`b` - Base.

`h` - Height.

The base and height of the parallelogram are, respectively:

Base

`b = 8-2`

`b = 6`

Height

`h = 5-1`

`h = 4`

Then, the area of the parallelogram is:

`A = (6)\cdot (4)`

`A = 24`

The area of the paralellogram is 24 square units.