# The perimeter of a rectangle is 66cm and its width is half its length. What are the length and the width of the rectangle?

Mar 27, 2018

Length L$= 22 c m$

Width W$= 11 c m$

#### Explanation:

As we know that $W = \frac{L}{2}$

And perimeter p= two times the length plus two times the width,

p=$2 \cdot \left(L + \frac{L}{2}\right)$

$66 = 2 \cdot \left(\frac{3}{2} L\right)$

$66 = 3 L$

$L = 22 c m$

$W = \frac{L}{2} = \frac{22}{2} = 11 c m$