Write the coordinates of the vertices of a rectangle whose length and breadth are $5$ and $3$ units respectively,one vertex is at the origin,the longer side lies on the $x$-axis,and one of the vertices lies in the third quadrant.

(N/A) Given that the length and breadth of the rectangle are $5$ and $3$ units respectively.
One vertex is at the origin $(0,0)$.
The longer side (length $= 5$) lies on the $x$-axis.
Since one vertex lies in the third quadrant,the rectangle must extend towards the negative $x$-axis and negative $y$-axis.
Therefore,the vertices are:
$1$. The origin: $(0,0)$
$2$. Moving $5$ units along the negative $x$-axis: $(-5,0)$
$3$. Moving $3$ units down from $(-5,0)$ to reach the third quadrant: $(-5,-3)$
$4$. Moving $3$ units down from the origin along the $y$-axis: $(0,-3)$
Thus,the coordinates of the vertices are $(0,0), (-5,0), (-5,-3),$ and $(0,-3).$