# The length of a rectangle is 3 times its width. If the perimeter of the rectangle is 48 inches, how do you find the length?

$L = 18$ inches

#### Explanation:

Perimeter $P = 48$
$L = 3 w$

$P = 2 \cdot L + 2 \cdot w$

$48 = 2 \left(3 w\right) + 2 w$
$48 = 6 w + 2 w$
$48 = 8 w$
$w = \frac{48}{8}$
$w = 6$

solve now length $L$

$L = 3 w = 3 \cdot 6 = 18$
$L = 18$

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