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:
Each side of octagon surface = 5 m Area of octagon = 2(Area of trapezium) + Area of rectangle \[=2\times \frac{1}{2}\times h\times \] (sum of parallel side) \[+\text{ l }\times \text{ }b\] \[=4\times \left( 5+11 \right)+11\times 5~\] = 64 + 55 = 119 \[{{m}^{2}}\] Area of octagon surface = 119 \[c{{m}^{2}}.\]
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