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The side length of square ABCD is 1 unit. Its diagonal, AC, is a side of square ACEF. Square ACEF is then enlarged by a scale factor of 2. What is the area of the enlargement, in square units?

  • Geometry - ,

    diagonal of first square = √2
    so sides of second square are √2
    third square has sides 2√2

    area of third square = (2√2)^2 = 8 square units.

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