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

 (-5, -3)

Step-by-step explanation:

First, you need to understand where Quadrant III lies.

               Quadrant II ↓ ← ← ← ← ← ← Quadrant I

                                   ↓

                                   ↓

              Quadrant III ↓ → → → → → → Quadrant IV

Since the vertex lies in the bottom left corner of the graph with distance from the origin (0, 0) of 5 on the x-axis and 3 on the y-axis, we end up with (-5, 0) on the x-axis and (0, -3) on the y-axis.  To form a rectangle, the remaining vertex lies at (-5, -3).

         (-5, 0) oo (0, 0)

                    |                            |

                    |                            |

                    |                            |

       (-5, -3) oo (0, -3)