Question

Find the area of a square, if its side becomes $\frac{2}{5}$ times of its original length

Answer 1

Let x = length of the side of a square.

When it's side becomes $\frac{2}{5}$ times of

original length

then let $y=\frac{2}{5}x$

$\therefore$ Area of the square = $y^2=(\frac{2}{5}x{)}^2=\frac{4}{25}{x}^2$