Question

The length of a rectangle is one unit shorter than one-sixth of the width, x.

Answer 1

Answer:

Perimeter =$\frac{7}{3}x-2$

Step-by-step explanation:

The length of a rectangle is one unit shorter than one-sixth of the width, x

LEts x be the width of the rectangle

Length is 1 unit shorter than 1/6 of width

$Length = \frac{1}{6} x-1$

Perimeter of the rectangle = 2(length ) + 2(width)

Replace length and width

Perimeter =$2(\frac{1}{6} x-1)+2x$

Simplify it

Perimeter =$\frac{1}{3} x-2+2x$

$\frac{1}{3} x+2x=\frac{1}{3}x+\frac{6}{3} x=\frac{7}{3}x$

Perimeter =$\frac{7}{3}x-2$

Answer 2

$P=2l+2w$
$P=2(\frac{x}{6}-1)+2(x)$
$P=\frac{2x}{6}-2+2x$
$P=\frac{x}{3}-2+2x$
$P=2\frac{1}{3}x-2$