4MA1/1HR Jan 2022, Question 3: Pythagoras' Theorem
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1HR (Higher) · Calculator · 4 marks
اقرأ هذا الحل مشروحاً بالعربي ←
The question, in short
A shaded figure is built from three congruent right-angled triangles plus a square; three sides measure 16 cm and the vertical height is 12.8 cm. Calculate the total distance around the shaded figure.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 4 marks
- 1Each triangle has hypotenuse 16 cm and one side 12.8 cm
- 2Pythagoras: third side = √(16² − 12.8²) = √92.16 = 9.6 cm
- 3Perimeter = (12.8 − 9.6) + 9.6 + 9.6 + 16 + 16 + 16
- 4= 3.2 + 19.2 + 48 = 70.4
Answer70.4
Stuck on a step? Read the free lesson: Pythagoras' Theorem
Practise more pythagoras' theorem questions
Real 4MA1 past-paper questions, marked on your working like the exam, with a worked solution for every part.
Practise free on LemmaraMore past-paper questions on pythagoras' theorem
Also searched as: 4MA1 1HR January 2022 · 4MA1/1HR · 4ma1 jan22 1hr · question 3.
Lemmara is an independent study tool, not affiliated with or endorsed by Pearson Edexcel. The worked solutions are Lemmara’s own.