Question

If each side of a square with side $16m$ is halved , the its area reduces by:

• A. $64m^2$
• B. $738m^2$
• C. $192m^2$
• D. $256m^2$

Answer 1

The correct option is C

$192m^2$

Step 1: Calculating area of square

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

$$\begin{gathered} =\mathrm{side}\times \mathrm{side} \\ =16\times 16 \\ =256m^2 \end{gathered}$$

Step 2 : Calculating area when side is halved

New side $=\frac{side}{2}=\frac{16}{2}=8m$

Area of square $=8^2=64m^2$

Difference between area $=256-64=192m^2$

Hence , area is reduced by $192m^2$.