ABCD is a rectangle of dimensions 80\text{ cm} \times 60\text{ cm}. Another rectangle PQRS is drawn inside AB…

$ABCD$ is a rectangle of dimensions $80\text{ cm}\times 60\text{ cm}$. Another rectangle $PQRS$ is drawn inside $ABCD$ leaving space of equal width $x$ cm along the edges of $ABCD$. If area $PQRS$ is half of the area $ABCD$, then find the value of $x$.