Q. 35.0( 4 Votes )

A farmer wishes t

Answer :

Let ‘x’ and ‘y’ are the dimension of the vegetable garden.


Area of rectangle = Length × Width


x × y = 100



we are going to cover the barbed wire for fencing only. So, it must be the perimeter of vegetable garden. Usually perimeter always covers all the four side. Bute here we are going to cover only three sides, because one side of the vegetable garden will act as the compound wall.


x + x + y = 30


2x + y = 30




200 + y2 = 30y


y2 – 30y + 200 = 0


y2 – 10y –20y + 200 = 0


y(y 10) 20(y 10) = 0


(y 10)(y 20) =0


y – 10 = 0 or y – 20 = 0


y = 10 or y = 20


Now we are going to apply these values in to get the values of x.


If y = 10 if y = 20



x = 10 x = 5


Therefore, the required dimensions are 10m and 10m or 20m and 5m.


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