perimeter = 2 length + 2 width
P = 2(l) + 2(11/4)
\(13 = 2l +2* \frac{11}{4}\)
\(13 = 2l + \frac{2}{1} * \frac{11}{4}\)
\(13 = 2l + \frac{22}{4}\) (subtract 22/4 from each side)
\(13 -\frac{22}{4} = 2l\)
\(13 -\frac{11}{2} = 2l\)
\(\frac{26}{2} -\frac{11}{2} = 2l\)
\(\frac{15}{2}} = 2l\)
\(7.5 = 2l\) (divide each side by 2)
7.5 ÷ 2 = l
3.75 = l
The answer is 3.75 or \(3 \frac{3}{4}\)