An equilateral triangular garden has side length $20$ m. A uniform path of width $x$ metres is built around the garden, so that the outer boundary is a larger similar equilateral triangle. If the area of the path alone is $300$ m$^2$, find $x$ (in metres).

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10\big(\sqrt{1+\sqrt{3}}-1\big)

Neco 2020 Mathematics Question 8

An equilateral triangular garden has side length \(20\) m. A uniform path of width \(x\) metres is built around the garden, so that the outer boundary is a larger similar equilateral triangle. If the area of the path alone is \(300\) m\(^2\), find \(x\) (in metres).

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