Question

If the area of a regular octagon is 8 $\left(\sqrt{2}+1\right)$$c{m}^2$, the side length of octagon is -

• A. 1 cm
• B. 2 cm
• C. 4 cm
• D. 5 cm

Answer 1

The correct option is B

2 cm

Area of a regular octagon = 2($\sqrt{2}$+1) $a^2$

$⟹$ 2($\sqrt{2}$+1) $a^2$ = 8($\sqrt{2}$+ 1)

$⟹$ a = 2 cm