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Home » The formula for perimeter is \(P = 2(\textlength + \textwidth)\). - Esdistancia

The formula for perimeter is \(P = 2(\textlength + \textwidth)\). - Esdistancia

📅 March 17, 2026 👤 scraface

Mar 17, 2026

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Let \(x\) be the width of the path.
The dimensions of the planting area are \((15 - 2x)\) by \((10 - 2x)\)...
So, \((15 - 2x)(10 - 2x) = 110\).
Expanding: \(150 - 30x - 20x + 4x^2 = 110\).
Simplifying: \(4x^2 - 50x + 150 = 110\).
Further simplifying: \(4x^2 - 50x + 40 = 0\).
Solving the quadratic equation using the quadratic formula:
\(x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\), where \(a = 4\), \(b = -50...
Discriminant: \(b^2 - 4ac = 2500 - 640 = 1860\).
\(x = \frac{50 \pm \sqrt{1860}}{8}\).

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