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HigherNon-calculatorA21 Forming equations

Question 1 · 4 marks

Spec and skills
  • Paper scope: Paper 1: non-calculator practice
  • Spec A21
  • Spec A17
  • Original practice question
  • Answer and supported method checks
A rectangle has length (3x−2)(3x - 2) cm and width (x+5)(x + 5) cm. A square has sides of length (x+7)(x + 7) cm. The rectangle and the square have the same perimeter.
Which shape has the greater area, and by how much? You must show your working.