Question

If the area of a rectangle is 864 sq ft and the width is 2/3 it's length,what is the length?

Answer 1

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


`(2)/(3) x^(2) =864`


`x^(2) = 1296`


`x=36`


`(2)/(3)(36)=24`


`Length=36`

`Width=24`

Answer 2

length =
`l`
width = w =
`(2)/(3)\cdotl`


`l\cdot(2)/(3)l = 864`


`(2)/(3)l^2 = 864`


`l^2 = 864\cdot(3)/(2)`


`l^2 = 1296`


`\boxed{l=36}`


`w=(2)/(3)\cdot36`


`\boxed{w=24}`