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0580 P42 - Jun 2017 - Q7 - 16 marks
14544

Lengths are in centimetres. A rectangle has sides 2x+6 and 2x+1; a square has side 3x−1.

Rectangle sides2x6 and2x1 and square side3x1

(a(i)) Find x when the perimeters are equal. [3]

(a(ii)) Find x when the areas are equal. Show all working. [7]

(b(i)) Factorise \(x^2+4x-5\). [2]

(b(ii)) Solve \(\frac5x-\frac8{x+1}=1\), showing all working. [4]

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