$$\(24 \mathbf{L}_{1}\)$$ and $$\(\mathbf{L}_{2}\)$$ are two straight lines. The origin of the coordinate axes is $$\(O\)$$. $$\(\mathbf{L}_{1}\)$$ has equation $$\(5 x+10 y=8\)$$ $$\(\mathbf{L}_{2}\)$$ is perpendicular to $$\(\mathbf{L}_{1}\)$$ and passes through the point with coordinates $$\((8,6)\)$$ $$\(\mathbf{L}_{2}\)$$ crosses the $$\(x\)$$-axis at the point $$\(A\)$$. $$\(\mathbf{L}_{2}\)$$ intersects the straight line with equation $$\(x=-3\)$$ at the point $$\(B\)$$. Find the area of triangle $$\(A O B\)$$. Show your working clearly.

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