Regular pentagon side expressions
Regular pentagon side expressions
Secondary 2
7 marks
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.
- 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.[2]
Solution:
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Answer:(a) \(3x-y=\dfrac{2x+y+6}{2},3x-y=x+2y\) (b) \(x=3,y=2\) (c) \(35\text{ cm}\)
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