Question

D) 12 1. In the regular octagan, the ratio of the shaded region to the unshaded region is 13:1 B) 1:3 C) 2:1 D) 4:5
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Answer 1

Answer:

Area of octagon = 8 × 3–√4 x2

= 2 3–√x2 where, x = AB

Area of ABCH = 12 (2x + x) × AI

= 12 × 3x × x2−x24−−−−−−√

= 12 × 3x × 3–√x2 = 33–√4x2

Required shaded portion

= 33–√4x2 ÷ 2 3–√x2 = 38