Regular pentagon side expressions

Regular pentagon side expressions

Secondary 2
TGM Original Questions

The length of every side of a regular pentagon can be written in each of the equivalent forms \((3x-y)\) cm, \(\frac{2x+y+6}{2}\) cm and \((x+2y)\) cm.

  1. Write down two independent equations connecting \(x\) and \(y\).
  2. Solve the equations obtained in (a) to find \(x\) and \(y\).
  3. Hence, find the perimeter of the pentagon.

Solution:

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Answer:\(x=3\), \(y=2\); perimeter 35 cm.

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