top surface of a raised platform is in the shape of a regular octagon as shown in figure find the area of octagon surface
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116
Given:
Sides of octagon= 5 m.
Construction: We Divide the octagon in 3 figures, two are trapeziums whose parallel and perpendicular
sides are 11 m and 5 m respectively and third figure in middle is rectangle
having length and breadth 11 m and 5 m.
Area of Trapezium
= (1/2) × (Sum of parallel sides) × Perpendicular distance
= (1/2) (11+5)4
= 16 x 2
= 32m²
Area of 2 trapeziums = 64 m²
Area of Rectangle = Length x Breadth
= 11 x 5 = 55
Area of Rectangle = 55 m²
Total area of octagon = 64 + 55= 119
Total area of octagon = 119 m²
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Hope this will help you..
Answered by
30
Step-by-step explanation:
Hence required area = 119 metre square
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