Question

A parallelogram can be represented by ... What is its area?

Answer 1

35 square units

Explanations:

The area of the parallelogram represented by the 2*2 matrix is the determinant of the matrix as shown:

`Area=|A|`

where A is the 2*2 matrix given

Find the area of the parallelogram

`\begin{gathered} |A|=7(3)-2(-7) \\ |A|=21+14 \\ |A|=35square\text{ units} \end{gathered}`

Hence the area of the parallelogram is 35 square units