# How do you write and solve an inequality represents the values of x for which the area of the rectangle will be at least 35 square feet?

Jan 6, 2017

#### Answer:

$x \ge \frac{35}{w}$ where $w > 0$ is the width of the rectangle (assuming $x$ is the length)

#### Explanation:

There really is not enough information here. You have not indicated how $x$ is related to the rectangle.

Perhaps (as an alternative to the assumption I made [above]), you meant for $x > 0$ to be the length of one side of a square.
In this case:
$\textcolor{w h i t e}{\text{XXX}} {x}^{2} \ge 35$
$\textcolor{w h i t e}{\text{XXX}} \rightarrow x \ge \sqrt{35}$