Display-board dimensions
Display-board dimensions
Secondary 2
6 marks
TGM Original Questions
A rectangular display board has width \(3x\) cm and height \((x+y)\) cm. Its width can also be written as \(4y\) cm, and its perimeter is \(38\) cm.
- Write down two equations connecting \(x\) and \(y\).[2]
- Solve the equations obtained in (a) to find \(x\) and \(y\).[3]
- Hence, state the dimensions of the display board.[1]
Solution:
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Answer:(a) \(3x=4y,4x+y=19\) (b) \(x=4,y=3\) (c) \(12\text{ cm by}\hspace{0.5em}7\text{ cm}\)
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