Answer:
Width = [tex]12[/tex] Length = [tex]9[/tex]
Step-by-step explanation:
We have to first find an equations with the given variables:
[tex]w = 2L - 6[/tex]
Now apply the area format:
[tex]Length * Width[/tex]
Since the area is 108 square inches
[tex]108 = l * w[/tex]
[tex]108 = l(2l-6)[/tex]
[tex]108 = l(2l) + l(-6)[/tex]
[tex]108 = 2l^2 - 6l[/tex]
Simplify:
[tex](l-9) * (l+6) = 0[/tex]
Since no number can be negative
[tex]w = 2*9(L)-6[/tex]
[tex]w = 12[/tex]
[tex]l=9[/tex]
