[tex]\text{Given that,}\\\\\text{Perimeter of the rectangle,}~ P = 338~\text m. \\\\\text{Width,}~ w= 77~ \text m. \\\\\text{Length,}~ l = ?\\\\\text{Now,}\\\\~~~~~~~P = 2(l+w)\\\\\implies 338 = 2( l +77)\\\\\implies l+77 = \dfrac{338}2\\\\\implies l +77 = 169\\\\\implies l = 169 -77\\\\\implies l = 92~\text m \\\\\text{Hence, the length of the garden is 92 m.}[/tex]
