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The diagram below consists of a rectangle ABCD and a triangle DXY so that X and Y are points on the line segments AB and BC respectively and angle...

The diagram below consists of a rectangle ABCD and a triangle DXY so that X and Y are points on the line segments AB and BC respectively and angle DXY is a right angle. If all the line segmets in the diagram have interger lengths, the we call it a Sophie Diagram.A Sophie Diagram has DX = 429 and DY = 845. Find the length and width of rectangle ABCD

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