13. Top surface of a raised platform is in the shape of a
regular octagon as shown in adjoining figure.
Find the area of the octagonal surface.
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Area of Trapezium=21(Sum of parallel lines)×height
⇒Area of the octagonal surface ABCDEFGH
=Area(trap.ABCH)+Area(rect.HCDG)+Area(trap.GDEF)
=[21(5+11)×4+(11×5)+21(11+5)×4]m2
=(32+55+32)m2=119m2.
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