Bdmo Regional Faridpur Higher Secondary 2017/10
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Please don't post problems (by starting a topic) in the "X: Solved" forums. Those forums are only for showcasing the problems for the convenience of the users. You can always post the problems in the main Divisional Math Olympiad forum. Later we shall move that topic with proper formatting, and post in the resource section.
Please don't post problems (by starting a topic) in the "X: Solved" forums. Those forums are only for showcasing the problems for the convenience of the users. You can always post the problems in the main Divisional Math Olympiad forum. Later we shall move that topic with proper formatting, and post in the resource section.
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Siam wants to build a new garden.He wants to make a garden with perimeter $P$ and area $A$ and he also wants to keep the value of $\dfrac{ P^2}{A}$ as small as he can. What will be the lowest value of $\dfrac{P^2}{A}$?
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- Posts:1007
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Re: Bdmo Regional Faridpur Higher Secondary 2017/10
If the garden is square shaped then , $\dfrac{P^2}{A}=16 $
But if it is a circle shaped grden then,
$\dfrac{P^2}{A}=4\pi$
As,$4\pi<16 $
The desired answer is $4\pi$
But if it is a circle shaped grden then,
$\dfrac{P^2}{A}=4\pi$
As,$4\pi<16 $
The desired answer is $4\pi$