Question

If p squares of each side $1mm$ makes a square of side $1cm$, then $p$ is equal to

• A. $10$
• B. $100$
• C. $1000$
• D. $10000$

Answer 1

The correct option is B

$100$

Find the value of $p$

From the given details we consider that,

$p$ squares of each side $1mm$makes a square of side $1cm$

We know that, area of square of side $1mm$ = side × side

$$\begin{gathered} =1\times 1 \\ =1m{m}^2 \end{gathered}$$

Then, area of square of side $1cm$ = side × side

$$\begin{gathered} =1\times 1 \\ =1c{m}^2 \end{gathered}$$

Given, area of square of side $1mm$ = area of square of side $1cm$

$$\begin{gathered} p\times 1m{m}^2=1c{m}^2 \\ pm{m}^2={\left(10mm\right)}^2 \end{gathered}$$

$p=100$

Hence the value of $p$ is equal to $100$ and therefore option (B) is correct.