Sec 2 E Math Mock Paper 2-Q06 - A rotated square and its quadratic

Sec 2 E Math Mock Paper 2-Q06 - A rotated square and its quadratic

Secondary 2
TGM Original Questions

\(ABCD\) is a square of side 25 cm. Points \(P,Q,R,S\) lie on \(AB,BC,CD,DA\) and \(BP=CQ=DR=AS=x\). The inner \(PQRS\) is a square of area \(337\text{ cm}^2\).

  1. Write the area of \(\triangle SDR\).
  2. Show that \(x^2-25x+144=0\).
  3. Solve the equation and find \(DR\), given \(DR<RC\).

Solution:

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Answer:(a) \(\tfrac12x(25-x)\text{ cm}^2\); (b) as shown; (c) \(DR=9\) cm.

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