# What linear equation will determine the length, given the area of a rectangle is 48 sq ft and the width is 6ft?

May 24, 2018

The equation is $l = 6$.

#### Explanation:

First, we know that the area of a rectangle is equal to length times width, or $A = l w$.

We know the area and the width, so we can solve the length.

The definition of a linear equation is simply an equation where when two points are plotted on a graph, you can make a straight line through the two points. Another way to state this is that it has a max of one unknown/variable.

First, let's plug in our values into the rectangle formula:
$A = l w$

$48 = l 6$

Now, we need $l$ alone, so divide both sides by $\textcolor{b l u e}{6}$:
$\frac{48}{\textcolor{b l u e}{6}} = \frac{l 6}{\textcolor{b l u e}{6}}$

Therefore, the linear equation is:
$l = 6$

Hope this helps!