mbrisen1 mbrisen1

20-02-2017
Mathematics

Answered

What is the largest possible area for a rectangle with a perimeter of 40 cm?

Verified Answer :

nikita83 nikita83

20-02-2017

\(p=2(a+b)=40\\S=ab=a(p/2-a)=ap/2-a^2\\S'=p/2-2a=0\quad\Rightarrow\quad a=p/4=10,b=p/2-a=p/4=10\\S_{\max}=100\)

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