The figure below is a regular octagon. What fraction of its area is shaded?

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The figure below is a regular octagon. What fraction of its area is shaded?

The Figure Below Is A Regular Octagon. What Fraction Of Its ...

Options:

A . 13

B . 14

C . 15

D . 38

Answer: Option B
:
B
The diagram shows how the octagon can be divided into 4 congruent rectangles and 8 congruent triangles. Let R represent the area of a rectangle and let T represent the area of a triangle. Then the ratio of the shaded region to the area of the entire octagon is

\frac{R + 2 T}{4 R + 8 T} = \frac{1}{4}

The Figure Below Is A Regular Octagon. What Fraction Of Its ...

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