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