What is the area of the plot which is in the shape of a regular polygon I Perimeter of the plot is 1...........

Quantitative Aptitude ( CCS) Data Sufficiency

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What is the area of the plot which is in the shape of a regular polygon?

I. Perimeter of the plot is 1036m

II. Radius of the largest circle that can be inscribed in the plot is 129.5m

III. Diameter of the largest circle that can be inscribed in the plot is equal to the length one side of the plot.

I, II & III

I or II, & III

I & II

None of the above

None of these

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Explanation:

From III, it is clear that the plot is square,

as the side of the regular polygon shaped plot is equal to the diameter of the biggest circle that can be inscribed in it.
From I, 4a = 1036m
=> a = 259m
=> area = 259*259 = 67081sq.m
Or,
From II, radius of circle = 129.5m
Therefore, diameter = a = 129.5*2 = 259m
=> area = 67081 sq.m

Hence, option 2 is the correct answer.