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1952 AMC 12 Question 46

AMC12 · 1952 AMC 12

Question 46

The base of a new rectangle equals the sum of the diagonal and the greater side of a given rectangle, while the altitude of the new rectangle equals the difference of the diagonal and the greater side of the given rectangle. The area of the new rectangle is:
  1. Greater than the area of the given rectangle
  2. Equal to the area of the given rectangle
  3. Equal to the area of a square with its side
    equal to the smaller side of the given rectangle
  4. Equal to the area of a square with its side equal to the
    greater side of the given rectangle
  5. Equal to the area of a rectangle whose dimensions are the
    diagonal and shorter side of the given rectangle