# The perimeter of a rectangle is 32 units. Its width is 6 units. What is the area of the rectangle?

Mar 24, 2018

$60$ units squared

#### Explanation:

To find the area of the rectangle ($l \cdot w$, where $w$ represents the width and $l$ represents the length), we first need to find the length

Perimeter of a rectangle: $2 l + 2 w = 32$

$2 l + 2 \cdot 6 = 32 \rightarrow$ Plug 6 in for the width and 32 in for the perimeter

$2 l + 12 = 32$

$2 l = 20$

$l = 10 \rightarrow$ The length is 10 units

To find the area: multiply length (10) by width (6)

$10 \cdot 6 = 60$