Answer:
7 in
Step-by-step explanation:
we know that
The perimeter of rectangle is given by the equation
[tex]P=2(L+W)[/tex]
where
L is the length
W is the width
In this problem we have
[tex]P=16\ in[/tex]
substitute
[tex]16=2(L+W)[/tex]
simplify
[tex]L+W=8[/tex]
solve for L
[tex]L=8-W[/tex]
That means ----> The length of rectangle must be less than 8 inches
therefore
The values of 8 in, 9 in and 10 in are not possible or the length of the rectangle
The value of 7 in is possible for the length of the rectangle