Question

Area of a square of side $6m$ is equal to the area of _______ squares of each side $1cm$

Answer 1

Area:In geometry, the area can be defined as the space occupied by a flat shape or the surface of an object.

Area of square:

Area of square$\mathbf{=}{\mathbf{\left(}\mathbf{side}\mathbf{\right)}}^{\mathbf{2}}$

Let us assume the number of squares having a side of $1cm$ be $n$.

As per the condition in the question,

Area of the square of the side $6m$ $=$ Area of the $n$ squares of side $1cm$

$$\begin{gathered} \Rightarrow {(6m)}^2=n{\left(1cm\right)}^2 \\ \Rightarrow 36m^2=n{cm}^2 \\ \Rightarrow 360000c{m}^2=nc{m}^2\dots [because1m=100cm] \\ \Rightarrow n=\frac{360000}{1} \\ \Rightarrow n=360000 \end{gathered}$$

Hence, Area of a square of side $6m$ is equal to the area of $360000$ squares of each side $1cm$