For this case we have that by definition, the area of a rectangle is given by:
[tex]A = w * l[/tex]
Where:
w: It is the width
l: It is the length
According to the data we have to:
[tex]A = x ^ 3-3x ^ 2-40x + 84\\w = x-7[/tex]
Then l = \ frac {x ^ 3-3x ^ 2-40x + 84} {x-7}
According to the attached figure we have that the quotient is[tex]x ^ 2 + 4x-12[/tex]
So, the length is [tex]l = x ^ 2 + 4x-12[/tex]
Answer:
Option A
