The perimeter of a rectangle is given by the formula
[tex]P=2L+2W[/tex]we have
P=16 in
L=W+4
substitute given values in the formula
[tex]\begin{gathered} 16=2(W+4)+2W \\ solve\text{ for W} \\ 16=2W+8+2W \\ 4W=16-8 \\ 4W=8 \\ W=2\text{ in} \end{gathered}[/tex]Find out the value of L
[tex]\begin{gathered} L=W+4 \\ L=2+4 \\ L=6\text{ in} \end{gathered}[/tex]