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

1 Answer
May 24, 2018

Answer:

The equation is #l = 6#.

Explanation:

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

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 = lw#

#48 = l6#

Now, we need #l# alone, so divide both sides by #color(blue)6#:
#48/color(blue)6 = (l6)/color(blue)6#

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

Hope this helps!