Question

The length of a rectangle is two thirds its width. the area is 12 square meters. find its width. round your answer to two decimal places.

Answer 1

L =
`( (2)/(3) )`w
a = 12
Length times width = area
L · w = a

`( (2)/(3) )`w · w = 12

`( (2)/(3) )`
`w^(2)` = 12
Divide both sides by
`(2)/(3)` or mulitply both sides by
`(3)/(2)` (either one is fine)

`( (2)/(3) )` ÷
`( (2)/(3) )`
`w^(2)` = 12 ÷
`( (2)/(3) )`
or

`( (3)/(2) )`
`( (2)/(3) )`
`w^(2)` = 12
`( (3)/(2) )`

`w^(2)` = 18
Square root both sides to get rid of the squared on the w

`\sqrt{w^(2) }` =
`√(18)`
w = 4.24