Question-218115

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

E K = \sqrt{7^{2} + 8^{2}} = \sqrt{113}

C I = \frac{1 \times 7}{8} = \frac{7}{8}

G I = \frac{4 \times \sqrt{113}}{8} = \frac{\sqrt{113}}{2}

D G = 9 + \frac{7}{8} - \frac{\sqrt{113}}{2} = \frac{79}{8} - \frac{\sqrt{113}}{2}

[E F G H] = 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

Thank you, sir .