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Question Number 218115 by Hanuda354 last updated on 29/Mar/25

Answered by mr W last updated on 30/Mar/25

Commented by mr W last updated on 30/Mar/25

$$EK=\sqrt{7^2+8^2}=\sqrt{113}$$$$CI=\frac{1\times 7}{8}=\frac{7}{8}$$$$GI=\frac{4\times \sqrt{113}}{8}=\frac{\sqrt{113}}{2}$$$$DG=9+\frac{7}{8}-\frac{\sqrt{113}}{2}=\frac{79}{8}-\frac{\sqrt{113}}{2}$$$$\left[EFGH\right]=9^2-\frac{2\times 3}{2}-\frac{6}{2}\times (\frac{79}{8}-\frac{\sqrt{113}}{2})-\frac{7\times 8}{2}\times (1+\frac{1}{2^2}-\frac{1}{8^2})$$$$=\frac{221}{16}+\frac{3\sqrt{113}}{2}\approx 29.76$$

Commented by Hanuda354 last updated on 30/Mar/25

$$\mathrm{Thank}\mathrm{you},\mathrm{sir}.$$

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