The diagram shows a trapezium. All measurements are in centimetres. a) Show that the area of the

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The diagram shows a trapezium. All measurements are in centimetres.


a) Show that the area of the trapezium is (6 + x − x²) cm².


b) The area of the trapezium can be written in the form a(x + b)² + c.


i) Find the values of a, b and c.


ii)
Hence find the maximum area of the trapezium and the value of x which gives the
maximum area.


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