Question

Please solve this problem

top surface of a raised platform is in the shape of a regular octagon as shown in the figure 14.12 find the area
enclosed by octogonal figure

Answer 1

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Here is the solution:

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Find the area of ABCH:

It is a trapezium

Area = 1/2 (a + b ) x h

Area = 1/2 (5 + 11) x 4

Area = 32 m²

Find the area of CDGH:

It is a rectangle.

Area = Length x Breadth

Area = 11 x 5 = 55 m²

Find the area of EFGD:

It is a trapezium

Area = 1/2 (a + b ) x h

Area = 1/2 (5 + 11) x 4

Area = 32 m²

Total area = 32 + 55 + 32 = 119 m²

Answer: The area is 119 m²