Răspuns :
AC-prima diagonala
BD- a doua diagonala
Aria romb=216cm^2
{AC,BD}->dp{3,4}
AC/3=BD/4=k
AC=3k
BD=4k
Aria romb=AC*BD/2
216cm^2=3k*4k/2
216cm^2=12k^2/2
216cm^2=6k^2
k^2=216/6
k^2=36=>
k^2=6^2 -înmulțim cu ^2
k=6
AC=3*6
AC=18cm
BD=4*6
BD=24cm
Aria Rombului mai poate fi egala si cu aria pătratului=>
A romb=l^2
216cm^2=l^2
(6rad6)^2=l^2 /:^2
l=6rad6cm
A romb =l *h
216cm2=6rad6*h
h=6rad6cm
BD- a doua diagonala
Aria romb=216cm^2
{AC,BD}->dp{3,4}
AC/3=BD/4=k
AC=3k
BD=4k
Aria romb=AC*BD/2
216cm^2=3k*4k/2
216cm^2=12k^2/2
216cm^2=6k^2
k^2=216/6
k^2=36=>
k^2=6^2 -înmulțim cu ^2
k=6
AC=3*6
AC=18cm
BD=4*6
BD=24cm
Aria Rombului mai poate fi egala si cu aria pătratului=>
A romb=l^2
216cm^2=l^2
(6rad6)^2=l^2 /:^2
l=6rad6cm
A romb =l *h
216cm2=6rad6*h
h=6rad6cm