Answer:
The length of rectangle =18 m.
Step-by-step explanation:
Suppose of length of rectangle=x
Width of rectangle =[tex]\frac{2}{3}x[/tex]
Area of rectangle =[tex]216 m^2[/tex]
We have to find the length of rectangle .
Area of rectangle =[tex]length\times breadth[/tex]
Substitute the values in the given formula
[tex]216=x\times \frac{2}{3}x[/tex]
[tex]216=\frac{2}{3}x^2[/tex]
[tex]2x^2=216\times 3[/tex] By multiplication property of equality
[tex]x^2=\frac{216\times 3}{2}[/tex] ( by division property of equality )
[tex]x=\sqrt{324}=18[/tex]
Substitute the value then we get
Width of rectangle =[tex]\frac{2}{3}\times 18=12 m[/tex]
Hence, the length of rectangle =18 m.
