In the xy-coordinate system, rectangle abcd is inscribed within a circle having the equation x2 + y2 = 25. Line segment ac is a diagonal of the rectangle and lies on the x-axis. Vertex b lies in quadrant ii and vertex d lies in quadrant iv. If side bc lies on line y = 3x + 15, what is the area of rectangle abcd?
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In the xy-coordinate system, rectangle ABCD is inscribed within a circle having the equation x^2 + y^2 = 25. Line segment AC is a diagonal of the rectangle and lies on the x-axis. Vertex B lies in quadrant II and vertex D lies in quadrant IV. If side BC lies on line y=3x+15, what is the area of rectangle ABCD?
A. 15
B. 30
C. 40
D. 45
E. 50
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