[tex]\begin{gathered} \text{area of the garden = Lw} \\ \text{where} \\ L=\text{length} \\ w=\text{width} \\ \text{area = 3}\frac{3}{4} \\ w=1\frac{1}{2} \\ 3\frac{3}{4}=1\frac{1}{2}\times l \\ \frac{15}{4}=\frac{3}{2}l \\ \text{cross multiply} \\ 30=12l \\ l=\frac{30}{12} \\ l=\frac{5}{2}=2\frac{1}{2}\text{ yards} \end{gathered}[/tex]
