A farmer prepares rectangular vegetable garden of area 180 sq meters. With 39 meters of barbed wire, he can fence the three sides of the garden, leaving one of the longer sides unfenced. Find the dimensions of the garden.

Let the length and breadth of the rectangular garden be and meter, respectively.

Given:
and

Putting the value of in (i), we get:

If

If

Thus, the length and breadth of the garden are (15 m and ) or ( and ), respectively.