according to the question
one of the length of the rectangle is missing
area is 11 square m
length is 3 2/3m
breath = ?
[tex]\begin{gathered} \text{area = 11m}^2 \\ \text{length = 3}\frac{2}{3}m=\text{ }\frac{(3\times3)+2}{3}=\text{ }\frac{9+2}{3}=\frac{11}{3}m \\ \text{breath =b} \\ \text{area = length }\times breath \\ 11\text{ = }\frac{11}{3}\times b \\ 11=\frac{11\times b}{3} \\ 11=\frac{11b}{3} \end{gathered}[/tex]cross multiplying
[tex]\begin{gathered} \frac{11}{1}=\frac{11b}{3} \\ 11b\text{ }\times1\text{ = 11}\times3 \\ 11b=33 \end{gathered}[/tex]divide both side by 11
[tex]\begin{gathered} \frac{11b}{11}=\frac{33}{11} \\ b=3 \\ \text{the breath is 3m} \end{gathered}[/tex]the missing lenght is the breath which is 3m
