Question

If the sides of a square are halved, then its area

• A. remains same
• B. becomes half
• C. becomes one-fourth
• D. $doubles$

Answer 1

The correct option is C

becomes one-fourth

Let us assume side of a square =$xcm$
∴ Area = $x^2=x^{2}c{m}^2$
and if we half the side
∴ New side of a square = $\frac{x}{2}$ cm
∴ Area = ${\left(\frac{x}{2}\right)}^2$=$\frac{x^2}{4}$ $c{m}^2$
Hence, It shows if side of square are halved, then its area become one-fourth.