What is the area of the rectangle? Show ALL your work! Do not round at any point!

First lets work out the length of the top side which joins the points (-1,7) and (-5,5):-
this = sqrt ( (7-5)^2 + (-1 - (-5)^2 )
= sqrt (4 + 16)
= sqrt 20
Now find length of the longer side which is distance between the points (-1,7) and (4, -3)
this is sqrt ( (-1 - 4)^2 + (7 - -3)^2)
= sqrt 125
Area of the rectangle = sqrt 20 * sqrt 125
= sqrt 2500
= 50 units^2 Answer