Q. 255.0( 1 Vote )

A farmer wants to

Answer :

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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