# Rashau made a rectangular frame for her latest oil painting. The length is 27 centimeters more than double the width, The perimeter of the frame is 90 centimeters. How do you find the length and the width of the frame?

$L = 39 c m$

$W = 6 c m$

#### Explanation:

$L = 2 W + 27$
$2 L + 2 W = 90$

$2 \left(2 W + 27\right) + 2 W = 90$

$4 W + 54 + 2 W = 90$

$6 W = 90 - 54$

$6 W = 36$

$W = \frac{36}{6} = 6 c m$

$L = 2 \times 6 + 27 = 39 c m$