Question

Which of the following is a counter example of the statement, "The perimeter of a rectangle can never be an odd number"?

• A. Length of a rectangle is $3.25$ in. and width is $5.25$ in.
• B. Length of a rectangle is $10$ in. and width is $7$ in.
• C. Length of a rectangle is $9$ in. and width is $5$ in.
• D. None of these

Answer 1

Answer: (A)

Length of a rectangle is $3.25$ in. and width is $5.25$ in.

For option $A$, perimeter of rectangle$=2(l+b)=2(3.25+5.25)in=2\left(8.5\right)in=17in.$

This proves perimeter can be $odd$.

For Option B and C perimeter is even.

Option A is a counter example of the given statement.