Question

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

Answer 1

2/3*18= 12
12*18=216
the length is 18

Answer 2

The length of rectangle is
`18\ m`

Explanation:

we know that

The area of a rectangle is equal to

`A=LW`

where

L is the length of rectangle

W is the width of rectangle

In this problem we have

`A=216\ m^(2)`

so

`216=LW` -------> equation A

`W=(2)/(3)L` ------> equation B

Substitute equation B in equation A and solve for L

`216=L[(2)/(3)L]`

`(216*3)/(2)=L^(2)`

`L^(2)=324`

`L=18\ m`