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