## Exam-Style Question on Quadratic Equations## A mathematics exam-style question with a worked solution that can be revealed gradually |

Question id: 91. This question is similar to one that appeared on an IB Studies paper in 2014. The use of a calculator is allowed.

A red rug has a width of \(x-3\) cm and a length of \(4x\) cm.

(a) Write down an ex^{2}, of the rug.

The area of the rug is 3240 cm^{2}.

(b) Calculate the value of \(x\).

(c) Hence, write down the value of the length and of the width of the rug in centimetres.

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