Chapter 12.8, Problem 6P

Which of the lengths that follow could be the length of 1 side of a rectangle that has perimeter 7 in.? In each case, if the length is a possible side length of a rectangle of perimeter 7 in., then determine the lengths of the other 3 sides without using a calculator. If the length is not a possible side length of such a rectangle, then explain why not. Show your calculations.

1. $2\frac{3}{4}in$
2. $5\frac{1}{2}in$
3. $1\frac{7}{8}in$
4. $3\frac{3}{8}in$
5. $3\frac{5}{8}in$