Question

The length of a rectangle is one unit shorter than one-sixth of the width, x. Which expression represents the perimeter of the rectangle? 7/3x−2 1/3x−4 1/3x−2 ​ 7/3x−8

Answer 1

Width: x
Length: 1/6x-1
Perimeter
=x+x+1/6x+1/6x-1-1
=14/6x-2
=7/3x-2

Answer 2

Answer:
`(7)/(3)x-2`

Explanation:

Let x be the width of the rectangle , then the length of the rectangle will be :_

Length =
`(1)/(6)x-1`

We know that the perimeter of a rectangle is given by :-

`P=2(l+w)`

Substitute the value of length and width we get,

`P=2((1)/(6)x-1+x)`

Combine like terms, we get

`P=2((1+6)/(6)x-1)\\\\\Rightarrow\ P=2((7)/(6)x-1)\\\\\Rightarrow\ P=2*(7)/(6)x-2*1\\\\\Rightarrow\ P=(7)/(3)x-2`

Hence, the expression represents the perimeter of the rectangle :
`(7)/(3)x-2`