Question

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

Answer 1

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!