# The length of a rectangle is 5 centimeters less than twice its width. The perimeter of the rectangle is 80 cm. What are the dimensions of the rectangle?

Jun 3, 2016

$15$cm x $25$ cm

#### Explanation:

If $x$ is the width $w$, then the length $l$ is $2 x - 5$

The perimeter $p = 2 w + 2 l$

So

$80 = 2 x + 2 \left(2 x - 5\right)$
$80 = 6 x - 10$
$6 x = 90$

$\therefore x = 15$

The length is $2 \cdot 15 - 5 = 25$