In order to solve this problem, we need to find the length of a width, and a length of the long side.
To find how long the width is, we use the distance formula on the points (2,-3) and (5,-1).
This is [tex] width = \sqrt{(5-2)^{2}+(-3-(-1))^{2} } = \sqrt{13} = 3.6 [/tex]
Now, we find how long the length is. We do this the same way:
[tex]length = \sqrt{(5-1)^{2} (5+1)^{2} } = \sqrt{52} = 7.2[/tex]
Now, we multiply 3.6 by 7.2 to get our answer. This is equal to 25.9, so this is the area.
