gmatbusters wrote:
Project DS Butler: Day 9: Data Sufficiency (DS17)
For DS butler Questions Click Here Land for a pasture is enclosed in the shape of a 6-sided figure; all sides are the same length and all angles have the same measure. What is the area of the enclosed land?
(1) Each side is 8 meters long.
(2) The distance from the center of the land to the midpoint of one of the sides is 4\(\sqrt{3}\) meters.An additional solution to the one above, relying on the logic of regular polygons:
Since all sides and (internal) angles are equal, the polygon is regular.
The only thing you can do to a regular polygon is make it larger or smaller; all other ratios are fixed.
So, given any one of the polygons parameters (length of side, area, cross-section, whatever you like), you know EXACTLY how to draw the polygon.
This implies that you can calculate all of its parameters.
Since both (1) and (2) provide us with one of the parameters, they fix ALL the parameters of the polygon.
Then (D) is correct.
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