Coordinate Geometry - Area of Rectilinear Figures

Coordinate Geometry - Area of Rectilinear Figures

TGM Original Questions

Solutions to this question by accurate drawing will not be accepted.

\(A\), \(B\) and \(C\) are the points \((20, 15)\), \((-35, -20)\) and \((-20, 15)\).

  1. Find the area of triangle \(ABC\).
  2. \(ABCD\) is a parallelogram, find the coordinates of \(D\).
  3. \(ACBE\) is a trapezium with \(AC\) parallel to \(BE\). The area of the trapezium is \(1750\) units\(^2\). Find the coordinates of point \(E\).

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Answer:(a) \(700\) units\(^2\); (b) \(D=(35,50)\); (c) \(E=(25,-20)\).

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