Top surface of a raised platform is in the shape of a regular octagon

1.	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.(a) 400 m2 (b) 348 m2 (c) 256 m2 (d) 476 m2
Answer» (d) 476 m² Area of the octagonal surface = 2 × \(\frac12\) × (22m + 10m) × 8m + 22m × 10m = 32m × 8m + 220 m² = 256 m² + 220 m² = 476 m²

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.(a) 400 m2 (b) 348 m2 (c) 256 m2 (d) 476 m2

Answer»

(d) 476 m²

Area of the octagonal surface

= 2 × \(\frac12\) × (22m + 10m) × 8m + 22m × 10m

= 32m × 8m + 220 m²

= 256 m² + 220 m² = 476 m²