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Algebraic Techniques, SM-Bank 055

Write an expression for the perimeter of the rectangle below. Give your answer in simplest form.  (2 marks)

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\(20x+2\)

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\(\text{Method 1}\)

\(\text{Perimeter}\)  \(=7x+1+3x+7x+1+3x\)
  \(=7x+3x+7x+3x+1+1\)
  \(=20x+2\)

 

\(\text{Method 2 (Advanced)}\)

\(\text{Perimeter}\)  \(=2(7x+1)+2\times 3x\)
  \(=14x+2+6x\)
  \(=20x+2\)