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Question Number 202679 by Mingma last updated on 31/Dec/23

Answered by esmaeil last updated on 31/Dec/23

$$\curvearrowright \to {<}_{hex}=120\to$$$$tan30=\frac{h}{\frac{a}{2}}\to h=\frac{\sqrt{3}a}{6}$$$$2\left(\frac{a}{2}\times \frac{\sqrt{3}a}{6}\times \frac{1}{2}\right)=43=(S_{blue}+S_{pink})\to$$$$\sqrt{3}{a}^2=12\times 43\to a\cong 17.26\to$$$$A_h=17.26\times 17.26-\left(2\times 43\right)=211.91$$$$$$

Commented by Mingma last updated on 31/Dec/23

Perfect ��

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