Draw a rough sketch of a regular octagon. (Use squared paper if you wish).
Draw a rectangle by joining exactly four of the vertices of the octagon.

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Solution

Plot a diagram of a regular octagon and then join exactly four of the vertices of the octagon to form a rectangle.
Draw the diagram of a regular octagon $A B C D E F G H$ and then join $H C and G D$ .
The diagram is shown below:
From the figure, observe that by joining $H C and G D$ , $H C G D$ forms a rectangle.
Hence, the required diagram is shown below:

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