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Differential Calculus

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29 Dec 2011 12:56:08 IST

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maxima and minima

Mathematics

atrapezium having 3 sides equal that is 6 cm when its area is maximum

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UTKARSH GARG

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Joined: 1 Mar 2012

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1 Mar 2012 20:58:43 IST

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draw a trapezium ABCD with AB parallel CD and AB=BC=AD=6cm with CD>AB . let DE=FC=x .then AE=BF=square root(36-x square) .area of trapezium is (x+6)*square root(36-x suare).differentiate and equate to 0 and get x=2.so CD=10cm. so the trapezium has maximum area when the fourth side is 10 cm long .

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