Perimeter and Area of Composite Figures

Perimeter and Area of Composite Figures

TGM Original Questions

In the figure below, \(ABCD\) is a parallelogram and \(E\) is a point on \(AD\), \(F\) is a point on \(BC\) such that \(\frac{BF}{BC} = \frac{3}{4}\).

Find

  1. the areas of parallelogram \(ABCD\),
  2. the area of the shaded region,
  3. the ratio of the area of the shaded region to the area of parallelogram \(ABCD\).

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Answer:(a) \(160\text{ cm}^2\) (b) \(60\text{ cm}^2\) (c) \(3:8\)

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