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2 marksChanging the Subject of Formulae

CSEC Mathematics · May/June 2006 · Paper 2 · Question 9(b)(ii)

A strip of wire of length 32 cm is cut into two pieces. One piece is bent to form a square of side x cm. The other piece is bent to form a rectangle of length l cm and width 3 cm. The diagrams below, not drawn to scale, show the square and the rectangle.

Show that l = 13-2x.

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Other parts of this question

  1. 9(a)Solve the pair of simultaneous equations y = x + 2 and y = x².[5 marks]
  2. 9(b)(i)Write an expression, in terms of l and x, for the length of the strip of wire.[2 marks]
  3. 9(b)(iii)Show that S = x² - 6x + 39.[2 marks]
  4. 9(b)(iv)Calculate the values of x for which S = 30.25.[4 marks]

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