Question

Rajini says 1 sq. m = ${\left( {100} \right)^2}$ sq. cm. Do you agree? Explain

Answer 1

Hint: In this particular question use the concept that there are 100 cm in 1 meter and proceed the solution with an assumption that the statement of Rajini is wrong so use these concepts to reach the solution of the question.

Complete step-by-step answer:
Let us assume that the statement which is said by Rajini, i.e. one square meter is equal to 100 square centimeter square is wrong.
Now as we all know that there are 100 centimeter in 1 meter.
Therefore, 1 m = 100 cm
Now squaring on both sides we have,
$ \Rightarrow {\left( {1{\text{ m}}} \right)^2} = {\left( {100{\text{ cm}}} \right)^2}$
Now simplify it we have,
$ \Rightarrow 1{\text{ }}{{\text{m}}^2} = {\left( {100} \right)^2}{\text{ c}}{{\text{m}}^2}$
Hence, our assumption which was made at the beginning was wrong and the statement made by Rajini is correct.
So we agree with the statement that 1 sq. m = ${\left( {100} \right)^2}$ sq. cm.
So this is the required answer.

Note: When solving these types of questions, carefully see the statement given in the question, assume the statement to be wrong, and then using the standard result, i.e. 1 meter = 100 cm, obtain the result as above and conclude whether the statement made is correct or not if correct then the statement made by Rajini is correct and if not then the statement made by Rajini is incorrect.