Quadratic Functions, Equations and Inequalities

Quadratic Functions, Equations and Inequalities

Secondary 3

A rectangle has width \(x\) cm. Its length is \(3\) cm greater than its width. Its area is \(54\text{ cm}^2\).

  1. Form a quadratic equation in \(x\).

  2. Solve the equation and find the dimensions of the rectangle. Explain why one root must be rejected.

  3. Find the perimeter of the rectangle.

Solution:

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Answer:(a) \(x^2+3x-54=0\); (b) Dimensions \(6\text{ cm}\times9\text{ cm}\); (c) Perimeter \(30\text{ cm}\).

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