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Question Number 89270 by jagoll last updated on 16/Apr/20

what is the maximum   perimeter of a parallelogram   ABCD which inscribed the   ellipse (x^2 /4) + y^2  = 1 ?

$${what}\:{is}\:{the}\:{maximum}\: \\ $$$${perimeter}\:{of}\:{a}\:{parallelogram}\: \\ $$$${ABCD}\:{which}\:{inscribed}\:{the}\: \\ $$$${ellipse}\:\frac{{x}^{\mathrm{2}} }{\mathrm{4}}\:+\:{y}^{\mathrm{2}} \:=\:\mathrm{1}\:? \\ $$

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