# The contrapositive of the following statement, “If the side of a square doubles, then its area increases four times”, is Option 1) If the side of a square is not doubled, then its area does not increase four times. Option 2) If the area of a square increases four times, then its side is doubled. Option 3) If the area of a square increases four times, then its side is not doubled. Option 4) If the area of a square does not increase four times, then its side is not doubled.

As we learnt in

Implications -

Symbol of If p then q is p $\rightarrow$q or p $\Rightarrow$q

-

If statement is $p\rightarrow q$

contrapositive is $\sim q\rightarrow \sim p$

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

Option 1)

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

Incorrect

Option 2)

If the area of a square increases four times, then its side is doubled.

Incorrect

Option 3)

If the area of a square increases four times, then its side is not doubled.

Incorrect

Option 4)

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

Correct

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