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# Top surface of a raised platform is in the shape of a regular octagon as shown in the figure. Find the area of the octagonal surface.

Top surface of a raised platform is in the shape of a regular octagon as shown in the figure. Find the area of the octagonal surface.

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Area of octagonal surface = Area of rectangular surface + 2(Area of trapezium surface)

Area of recatangular surface = $11\times5 = 55 m^2$

Area of trapezium surface =

$\frac{1}{2}\times4(11+5) = 2\times16 = 32 m^2$

So total area of octagonal surface = 55 + 2(32) = 55 + 64 = 119 $m^2$

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