Uniform photo-frame border

Uniform photo-frame border

Secondary 2
8 marks
TGM Original Questions

Optional extension

A \(22\text{ cm}\) by \(18\text{ cm}\) frame has a uniform border of width \(x\) cm. The border area is \(144\text{ cm}^2\).

  1. Give the photograph length.[2]
  2. Show that \(x^2-20x+36=0\).[2]
  3. Solve and reject the inadmissible root.[2]
  4. Find the photograph perimeter.[2]

Solution:

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Answer:(a) \(22-2x\) cm (c) \(x=2\) cm (d) \(64\) cm. (b) \(x^2-20x+36=0\) (shown).

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