O-LevelAdditional MathematicsIndices and surdsMay/June 2013Paper 2 Q56 Marks
Calculators must not be used in this question. The diagram shows a trapezium ABCD in which AD = 7cm and AB = (4+ √5)cm. AX is perpendicular to DC with DX = 2cm and XC = xcm. Given that the area of trapezium ABCD is 15(√5+ 2)cm², obtain an expression for x in the form a + b√5, where a and b are integers.
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