A square garden is surrounded by a path of uniform width. If the path and the garden both have an area of x, then what is the width of the path in terms of x?
$$\text{A. } x\sqrt{2}$$
$$\text{B. } 2\sqrt{x}-\sqrt{2}$$
$$\text{C. } \frac{\sqrt{2}}{2}-\frac{x}{4}$$
$$\text{D. } x\sqrt{2}-\frac{x}{2}$$
$$\text{E. } \frac{\sqrt{2x}}{2}-\frac{\sqrt{x}}{2}$$
The OA is E
Source: Magoosh
$$\text{A. } x\sqrt{2}$$
$$\text{B. } 2\sqrt{x}-\sqrt{2}$$
$$\text{C. } \frac{\sqrt{2}}{2}-\frac{x}{4}$$
$$\text{D. } x\sqrt{2}-\frac{x}{2}$$
$$\text{E. } \frac{\sqrt{2x}}{2}-\frac{\sqrt{x}}{2}$$
The OA is E
Source: Magoosh
