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The area of the shaded portion is what percent of the area o

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The area of the shaded portion is what percent of the area o [#permalink] New post 15 Feb 2013, 11:23
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The area of the shaded portion is what percent of the area of the regular octagon? (Point O is the center of the octagon.)

A. 6.25%
B. 8%
C. 10%
D. 12.5%
E. 16%
[Reveal] Spoiler: OA

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Re: The area of the shaded portion is what percent of the area o [#permalink] New post 15 Feb 2013, 20:46
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If you combine both the shaded areas, they make up one triangle of the eight congruent triangles that make up the entire octagon

Therefore shaded area = (1/8)th of the area of the entire octagon = 12.5 % of the octagon's area

D it is.
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Manager
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Re: The area of the shaded portion is what percent of the area o [#permalink] New post 08 Nov 2013, 00:11
Actually there are 8 equilateral triangles in an octagon. From the figure each triangle is divided into 2 parts. So, total triangles is 8x2=16. Area of shaded region is 2/16x100=12.5percnt.
Re: The area of the shaded portion is what percent of the area o   [#permalink] 08 Nov 2013, 00:11
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