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0580/32 Feb/Mar 2023, Question 9: Constructing Equations

Cambridge IGCSE Mathematics 0580 · Paper 32 (Core) · Calculator · 5 marks

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The question, in short

Find a simplified expression for the area of a rectangle with sides 2y and 3y, then use a triangle's perimeter of 526 cm to determine x.

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Part (a) · 2 marks

Write the area of the rectangle, sides 2y and 3y, in its simplest form.

  1. 1Area = 2y × 3y
  2. 2= 6y²

Answer6y²

Part (b) · 3 marks

Triangle sides are 3x − 10, x + 70 and 4x − 50 cm with perimeter 526 cm; find x.

  1. 1(3x − 10) + (x + 70) + (4x − 50) = 526
  2. 28x + 10 = 526
  3. 38x = 516
  4. 4x = 64.5

Answer64.5

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Also searched as: 0580/32/F/M/23 · 0580_m23_qp_32 · 0580 m23 32 · question 9.
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