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Question -

The 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.



Answer -

Area ofthe octagonal surface = area of trapezium ABCH + area of rectangle HCDG + areaof trapezium GDEF
Area of trapezium ABCH = Area of trapezium GDEF
1 (a+ b) × h
1 (11+ 5) × 4
1 ×16 × 4
= 32 m2
Area of rectangle HCDG = l × b = 11 m × 5 m = 55 m
2
Area of the octagonal surface = 32 m
2 +55 m2 +32 m2 =119 m2
Hence, the required area = 119 m
2.

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