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The contrapositive of the following statement, "If the side of a square doubles, then its area increases four times", is

Options

  1. Aif the area of a square increases four times, then its side is not doubled.
  2. Bif the area of a square increases four times, then its side is doubled.
  3. Cif the area of a square does not increase four times, then its side is not doubled.
  4. Dif the side of a square is not doubled, then its area does not increase four times.

Correct answer

C. if the area of a square does not increase four times, then its side is not doubled.

Step-by-step solution

Contrapositive of p → q is given by ~ q → ~ p . So, contrapositive of given statement is, "If the area of a square does not increase four times, then its side is not doubled".

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