Edexcel Gcse Mathematics (Linear) - Solving Quadratics By Factorising Page 8

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13.
Diagram
NOT
accurately drawn
x + 2
x – 5
x + 6
The diagram shows a trapezium.
The lengths of three of the sides of the trapezium are x – 5, x + 2 and x + 6.
All measurements are given in centimetres.
The area of the trapezium is 36 cm 2 .
x 2 – x – 56 = 0
(a) Show that
(4)
x 2 – x – 56 = 0
(b) (i)
Solve the equation
…………………………
(ii) Hence find the length of the shortest side of the trapezium.
…………………… cm
(4)
(Total 8 marks)

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