Given that the points (-3, 8), (2, 8), (2, -2), and (-3, -2) are vertices of a rectangle, what is the ratio of the rectangle's length to its width?

Let
A ---> (-3, 8)
B ---> (2, 8) 
C----> (2, -2) 
D----> (-3, -2)

step 1
find the distance AB
d=√[(y2-y1)²+(x2-x1)²]-----> d=√[(8-8)²+(2+3)²]----> d=√25-----> d=5 units

step 2
find the distance BC
d=√[(y2-y1)²+(x2-x1)²]-----> d=√[(-2-8)²+(2-2)²]----> d=√100-----> d=10 units

step 3
find the ratio of the rectangle's length to its width
ratio=rectangle's length/rectangle's width
length=10 units
width=5 units
ratio=10/5-----> ratio=2

the answer is 
 the ratio of the rectangle's length to its width is 2

see the attached figure

You would plot 83 on the 83 line and you would plot -113 on the -113 line.