Enlargement and area equation

Enlargement and area equation

Secondary 2
6 marks
TGM Original Questions

Optional extension

A picture measures \(x\) cm by \((x+5)\) cm and is enlarged by scale factor \(2\). The poster area is \(600\text{ cm}^2\).

  1. Without solving, test the guess \(x=12\).[2]
  2. Form the quadratic equation.[2]
  3. Find the original picture perimeter.[2]

Solution:

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Answer:(i) False (ii) \(x^2+5x-150=0\) (iii) \(50\) cm.

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