Question

What is the area of the parallelogram with the given vertices? A(-1, 3), B(0, 4), C(2, 2), D(1, 1)

Answer 1

The length BC: `(0-2)^2+(4-2)^2=BC^2`

`4+4=BC^2`

`BC=sqrt8`

The length DC: `(1-2)^2+(1-2)^2=DC^2`

`1+1=DC^2`

`DC=sqrt2`

area=`sqrt8xxsqrt2=sqrt16=4`