Line \( \mathrm{L}_{1} \) is parallel to the line \( \mathrm{L}_{2}...

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Line \( \mathrm{L}_{1} \) is parallel to the line \( \mathrm{L}_{2} \). Slope of \( \mathrm{L}_{1} \) is 9 . Also \( \mathrm{L}_{3} \) is parallel to \( \mathrm{L}_{4} \). Slope of \( \mathrm{L}_{4} \) is \( \frac{-1}{25} \).
\( \mathrm{P} \)
All these lines touch the ellipse \( \frac{\mathrm{x}^{2}}{25}+\frac{\mathrm{y}^{2}}{9}=1 \). Find the area of the parallelogram formed by these lines.
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