Question

If each side of a square is doubled, what change will occur in its area?

Answer 1

• The area $A$ of the square with side $s$ is given by,$A=s\times s$.

Step 1: Let the side of the square be$x\text{cm}$. Substitute $s=x$ into the formula and find the area of the square.

$\begin{array}{rcl}A& =& x\times x\\ & =& x^2{\text{cm}}^2\end{array}$

Step 2: When the side of the square is doubled it will become$2x$. Find the area of the square when its side becomes double.

$\begin{array}{rcl}A& =& 2x\times 2x\\ & =& 4x^2{\text{cm}}^2\end{array}$

It can be noticed that area of the square become four times when the side of the square is doubled.