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9 marksSolving Quadratic Equations Algebraically

CSEC Mathematics · May/June 2004 · Paper 2 · Question 9(b)(iii)

In the diagram, not drawn to scale, AKLM and ASTJ are both rectangles. Given that AS = 3x cm, AJ = 2x cm, SK = 3 cm and JM = 5 cm.

Hence, calculate the value of x and state the length of AK and AM.

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Other parts of this question

  1. 9(a)Calculate the values of m and n.[6 marks]
  2. 9(b)(i)Obtain an expression, in terms of x, for the area of rectangle AKLM.[9 marks]
  3. 9(b)(ii)Given that the area of rectangle AKLM is 60 cm², show that 2x² + 7x - 15 = 0.[9 marks]

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