Answer:
Width = [tex]\frac{c^2 - 4x - 12 }{x+2}[/tex]
Step-by-step explanation:
All we have to do is to use the method of changing the subject. First we know that length * width is equal to area.
Area = length * width
We have the area and the length but we don't have the width. So we substitute the values we have int the equation and make the width (w) the subject.
(c^2 - 4x - 12) = (x + 2) * w
(c^2 - 4x - 12) = w(x +2)
Divide both sides by (x+2) so w can stand alone.
[tex]\frac{c^2 - 4x - 12}{x+2} = \frac{w(x+2)}{x+2}[/tex]
w = [tex]\frac{c^2 - 4x - 12 }{x+2}[/tex]
