Lemmara logoLemmaraWorked solution

0580/13 May/Jun 2025, Question 21: Constructing Equations

Cambridge IGCSE Mathematics 0580 · Paper 13 (Core) · Non-calculator · 4 marks

اقرأ هذا الحل مشروحاً بالعربي ←

The question, in short

Using the given triangle sides 2x + 1, 9, x + 3 and rectangle sides 2x − 1 and x, equate their perimeters, form an equation, and solve for x.

Summarised in our own words. Use the official paper for the exact wording and the diagram.

Solution · 4 marks

  1. 1Triangle perimeter = 2x + 1 + 9 + x + 3 = 3x + 13
  2. 2Rectangle perimeter = 2(2x − 1 + x) = 6x − 2
  3. 33x + 13 = 6x − 2
  4. 415 = 3x
  5. 5x = 5

Answer5

Stuck on a step? Read the free lesson: Constructing Equations

Practise more constructing equations questions

Real 0580 past-paper questions, marked on your working like the exam, with a worked solution for every part.

Practise free on Lemmara

More past-paper questions on constructing equations

Also searched as: 0580/13/M/J/25 · 0580_s25_qp_13 · 0580 s25 13 · question 21.
Lemmara is an independent study tool, not affiliated with or endorsed by Cambridge International Education. The worked solutions are Lemmara’s own.