The perimeter of a standard-sized rectangular rug is 28 ft. The length is 2 ft longer than the width. How do you find the dimensions. What is the width?

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Answer 1 · 2016-11-28T03:56:27

The dimensions are 6 feet by 8 feet and the width is 6 feet.

The formula for the perimeter of a rectangle is:

$p = 2*w + 2l$ where $p$ is the perimeter, $w$ is the width and $l$ is the length.

We are told the length is 2 ft longer than the width. So, we can write this as:

$l = w + 2$

We are also given the perimeter or $p$ .

So substituting $28$ for $p$ and $w + 2$ for $l$ we can rewrite this formula as follows and solve for $w$ while keeping the equation balanced:

$28 = 2*w + 2*(w + 2)$

$28 = 2w + 2w + 4$

$28 = 4w + 4$

$28 - 4 = 4w + 4 - 4$

$24 = 4w$

$24/4 = (4w)/4$

$w = 6$

We can number substitute $6W for$ w $in the equation for$ l# to determine the length:

$l = 6 + 2$

$l = 8$