Q. 255.0( 1 Vote )

# A farmer wants to

Given Data:

A farmer wants to construct a circular garden and a square garden in his field

Sum of the perimeter is 600 m

Calculation:

Let r be the radius of circular field and a be the side of square field

2πr+4a=600

Sum of the areas, S=πr2+a2

Differentiating w.r.t to r

Now

4r–300+πr=0

Now find the second derivative to check for maxima and minima

Therefore side a of the square is

a = 2r

Yes good planning can save time, money and energy. This helps in completing the work in minimal resources.

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