Question

If each side of a square is doubled, then its area becomes times.

• A. four
• B. three
• C. two

Answer 1

The correct option is A four

Let the side of the square be '$a$'.
Hence, original area is:
$A_1=a^2$

After doubling, the side of the square will be $l=2a$
Now, area is:
$A_2=(2a{)}^2$
$A_2=4a^2$

$⟹\frac{A_2}{A_1}=\frac{4a^2}{a^2}$
$\frac{A_2}{A_1}=4$
The factor by which area of the square will change is 4 times the initial area.