Answer:
[tex]L = \frac{1}{2}P - 6[/tex]
Step-by-step explanation:
Given
[tex]Width = 6[/tex]
Required
Determine the length
Perimeter is calculated using:
[tex]P = 2W + 2L[/tex]
Where
[tex]P = Perimeter\\W = Width = 6\\L = Length[/tex]
Substitute 6 for W
[tex]P = 2 * 6 + 2L[/tex]
[tex]P = 12 + 2L[/tex]
Solve for 2L
[tex]2L = P - 12[/tex]
Divide both sides by 2
[tex]L = \frac{1}{2}(P - 12)[/tex]
Open Bracket
[tex]L = \frac{1}{2}P - \frac{1}{2} * 12[/tex]
[tex]L = \frac{1}{2}P - 6[/tex]