The expression of the width is
[tex]8t-7.5[/tex]The expression of the length is
[tex]7.5t+9[/tex]The perimeter formula is
[tex]P=2(w+l)[/tex]Let's replace the given expressions
[tex]P=2(8t-7.5+7.5t+9)[/tex]Now, we have to reduce like terms
[tex]P=2(15.5t+1.5)[/tex]Then, we use the distributive property
[tex]P=31t+3[/tex]