Answer:
[tex]Width = x^2 - 8[/tex]
Step-by-step explanation:
Given
[tex]L = 16 + W[/tex]
[tex]Area = x^4 - 64[/tex]
Required
An expression for the width
We have:
[tex]Area = x^4 - 64[/tex]
Express as difference of two squares:
[tex]Area = (x^2 + 8)(x^2 - 8)[/tex]
For all acceptable values of x,
[tex]x^2 + 8>x^2 - 8[/tex]
So:
[tex]Length = x^2 + 8[/tex]
[tex]Width = x^2 - 8[/tex]
