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.

  1. Write down two equations connecting \(x\) and \(y\).[2]
  2. Solve the equations obtained in (a) to find \(x\) and \(y\).[3]
  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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