Applications of Linear Equations in Real Life

Applications of Linear Equations in Real Life

TGM Original Questions

A string which forms the rectangle \(ABCD\) is used to form a square \(PQRS\). The rectangle has length and width of \((2x + 7)\) cm and \((x + 5)\) cm respectively and the square has sides of length \((3x - 11)\) cm.

  1. Write down an equation in \(x\) and find the value of \(x\).
  2. Find the area of the square \(PQRS\).

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Answer:(a) \(x=\dfrac{34}{3}\) (b) \(529\text{ cm}^2\)

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