## Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

A = $\frac{x^{2}}{2}$
The length is twice the width so $2 \times Width$ = length Width = $\frac{length}{2}$ The length is given as $x$ so Width = $\frac{x}{2}$ Since the area $A$ of a rectangle is length times width, then A = ($\frac{x}{2}$)($x$) A = $\frac{x^{2}}{2}$