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Question

Determine the number of pentagons in the following figure ______.
349190.png

A
5
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B
6
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C
8
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D
10
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Solution

The correct option is D 10
The figure is labelled as shown. In this case, six pentagons have been formed by the combination of three triangles and two rhombuses-
ADEFHJ, CFHJL, EHJLB, GJLBD, ILBDF and KBDFH.
Four other pentagons are formed by the combination of three triangles and one rhombus - LCFHM, LBEHM, BKFHM and BLlFM. Thus, there are 10 pentagons in the figure.

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