Question

The width of a rectangle is two-thirds of its length, and its area is 216 square meters. What is the length? is it 27 or 12

Answer 1

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.