The length of a rectangle is one unit shorter than obe-sixth of the width, x. Which expression represents the perimeter of the rectangle

3 answers

None of the above.
The length of a rectangle is one unit shorter than one-sixth of the width, x mean:

L = W / 6 - 1

P = 2 L + 2 W = 2 ( L + W )

P = 2 [ W / 6 - 1 + W ] =

2 [ W / 6 - 1 + 6 W / 6 ] =

2 ( 7 W / 6 - 1 ) =

2 ∙ 7 W / 6 - 2 ∙ 1 =

2 ∙ 7 W / 2 ∙ 3 - 2 =

7 W / 3 - 2 =

7 W / 3 - 2 ∙ 3 / 3 =

7 W / 3 - 6 / 3 =

( 7 W - 6 ) / 3

P = 7 W / 3 - 2 = ( 7 W - 6 ) / 3
The length of a rectangle is one unit shorter than one-sixth of the width, x.
Which expression represents the perimeter of the rectangle?