What is the area of parallelogram rstu?

The answer
to find the area of this parallelogram, first, we must find the value of its length and width

The area can be found with the formula  A = L x W
L = length
W= width
according to the image, the dimensions are L =UT and W= UR

vector UT = (6,2) and vector UT= (-4,4)

so L= length of vector UT = sqrt (6²+2²)=sqrt(40) =2 √10
 
and  W= length of vector UR= sqrt(4²+4²)=sqrt(32) =4√2