# Area of a Region

Calculus Level pending

$${\bf A: }$$

$${\bf B: }$$

Given the curve $${\bf 16 x^2 - 24 xy + 9 y^2 - 15 x - 20 y = 0 }$$ and the perpendicular lines $${\bf x - 7 y + 10 = 0 \: and \: 7 x + y - 10 = 0 }$$ in graph $${\bf (A) \:, }$$ find the area in graph $${\bf (B) }$$ consisting of three right triangles. 

Note: Although, the area is independent of the curve
$${\bf 16 x^2 - 24 xy + 9 y^2 - 15 x - 20 y = 0 \:,}$$ the curve is needed to find the points of intersection of the curve and the given lines. 

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