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3 marksWord Problems (Linear and Quadratic Equations/Inequalities)

CSEC Mathematics · Question 8(b)(i)

A diagram shows two rectangles, ABCD and GFED. ABCD has an area of 44 cm². GFED has sides 4 cm and 2 cm. AG = EC = 3x cm.

By writing an expression for the area of rectangle ABCD, show that x² + 2x - 4 = 0.

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Other parts of this question

  1. 8(a)(i)State a value of x that CANNOT be in the domain of f.[1 mark]
  2. 8(a)(ii)a)Find, in its simplest form, expressions for fg(x).[2 marks]
  3. 8(a)(ii)b)Find, in its simplest form, expressions for f⁻¹(x).[2 marks]
  4. 8(b)(ii)Calculate, to 3 decimal places, the value of x.[2 marks]
  5. 8(b)(iii)Calculate the perimeter of the UNSHADED region.[2 marks]

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