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

The length of rectangle =18 m.

Explanation:

Suppose of length of rectangle=x

Width of rectangle =
`(2)/(3)x`

Area of rectangle =
`216 m^2`

We have to find the length of rectangle .

Area of rectangle =
`length* breadth`

Substitute the values in the given formula

`216=x* (2)/(3)x`

`216=(2)/(3)x^2`

`2x^2=216* 3` By multiplication property of equality

`x^2=(216* 3)/(2)` ( by division property of equality )

`x=√(324)=18`

Substitute the value then we get

Width of rectangle =
`(2)/(3)* 18=12 m`

Hence, the length of rectangle =18 m.