Question

If the side of a square are doubled, what is the ratio area of the area of the original square to that of the new square$?$

Answer 1

If the length of a side of square is $x$ then, $Area=x^2$

If the length of a side of square is $2x$ then, $NewArea=2x\times 2x=4x^2$

$Ratio=\frac{Originalarea}{Newarea}=\frac{x^2}{4x^2}=\frac{1}{4}$

therefore , the ratio is $1:4$