Answer:
The length of rectangle is [tex]18\ m[/tex]
Step-by-step explanation:
we know that
The area of a rectangle is equal to
[tex]A=LW[/tex]
where
L is the length of rectangle
W is the width of rectangle
In this problem we have
[tex]A=216\ m^{2}[/tex]
so
[tex]216=LW[/tex] -------> equation A
[tex]W=\frac{2}{3}L[/tex] ------> equation B
Substitute equation B in equation A and solve for L
[tex]216=L[\frac{2}{3}L][/tex]
[tex]\frac{216*3}{2}=L^{2}[/tex]
[tex]L^{2}=324[/tex]
[tex]L=18\ m[/tex]
