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

Answer 1

Hi,

L = (1/6)x - 1

P = 2x + 2L = 2x + (2/6)x - 2

P= (7/3)x - 2

x being the width.


Hope this helps!

Answer 2

The expressions represents the perimeter of the rectangle is
`(7)/(3)x-2` .

Explanation:

Let the width of the rectangle be x

We are given that The length of a rectangle is one unit shorter than one-sixth of the width x

Length of the rectangle =
`(1)/(6)x-1`

Perimeter of rectangle =
`2(Length +Breadth)`

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

=
`2((7)/(6)x-1)`

=
`(7)/(3)x-2`

Hence The expressions represents the perimeter of the rectangle is
`(7)/(3)x-2` .