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    Mathematics
    Grade10
    Easy

    Question

    The area  of a square is given by A equals s squared, where s is a side length of the square. Write a function that gives the side length of a square in terms of its area when you double the side length of the square.

    1. fraction numerator square root of A to the power of straight prime end root over denominator 2 end fraction
    2. fraction numerator square root of A straight prime end root over denominator 4 end fraction
    3. 2 square root of A to the power of straight prime end root
    4. 4 square root of A to the power of straight prime end root

    The correct answer is: fraction numerator square root of A to the power of straight prime end root over denominator 2 end fraction

      Since A to the power of straight prime equals g left parenthesis s right parenthesis equals f left parenthesis 2 s right parenthesis equals left parenthesis 2 s right parenthesis squared equals 4 s squared
      S equals square root of fraction numerator A apostrophe over denominator 4 end fraction end root equals fraction numerator square root of A apostrophe end root over denominator 2 end fraction

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