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Source: Magoosh
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?
A. \(x^2\)
B. \(2\sqrt{x}-\sqrt{2}\)
C. \(\dfrac{\sqrt{2}}{2}-\dfrac{x}{4}\)
D. \(\sqrt{2}-\dfrac{x}{2}\)
E. \(\dfrac{\sqrt{2x}}{2}-\dfrac{x}{2}\)
The OA is E
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?
A. \(x^2\)
B. \(2\sqrt{x}-\sqrt{2}\)
C. \(\dfrac{\sqrt{2}}{2}-\dfrac{x}{4}\)
D. \(\sqrt{2}-\dfrac{x}{2}\)
E. \(\dfrac{\sqrt{2x}}{2}-\dfrac{x}{2}\)
The OA is E
