Latest TCS Aptitude Question SOLUTION: A pentagon was cut from rectangle and all dimensions of pentagon were given. Find area of pentagon?

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A pentagon was cut from rectangle and all dimensions of pentagon were given. Find area of pentagon?

Asked In TCS Arpit (11 years ago)

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ROHIT LAMBA  (11 years ago)

The area of any regular polygon is:
A=1/2 Pa
where P is the perimeter of the polygon, a is the apothem.

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Deepti Sharma  (11 years ago)

Mention Dimention..

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anand singh  (11 years ago)

let the side of pentagon is x..
area of pentagon is= (x^2)N/4tan(180/N)=1.724x^2
area of rectangle is = L*B= (xcos18+xcos54)*(x+2xcos72) (after resolving the angle... inside angle of regular pentagon is 108..)
area of rectangle is 2.448x^2
area of pentagon=0.7042*area of rectangle..

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sandeep  (11 years ago)

anand is ur process correct? plz confrm

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anand singh  (11 years ago)

@sandeep- yes. i have assumed that the pentagon is cut from sheet very efficiently.. so the minimum area of rectangular sheet is left...

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