Verified Answer :

ayah1

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 \(3 \frac{3}{4}\)