A farmer prepares a rectangular vegatable garden of area 180 sq metres. With 39 netres 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.

Answer

`"Either "(l=24 m, b=7.5m)" or "(l=15m,b=12m)`

Explanation

Let the length be x metres. Then, breadth `=(180)/(x)m.`
`:." "x+(180)/(x)+(180)/(x)=39impliesx+((360)/(x)=39`
`implies" "x^(2)-39x+360=0impliesx^(2)-24x-15x+360=0`
`implies" "(x-24)(x-15)=0impliesx=24" or "x=15.`
Either `(l=24m,b=7.5m)" or "(l=15m,,b=12m).`