IMC 2007 Q13
13. A 30 cm × 40 cm page of a book includes a 2 cm margin on each side, as shown.
What percentage of the page is occupied by the margins?
- A 14%
- B 16%
- C 18%
- D 20%
- E 22%
Intermediate Mathematical Challenge 2007, Question 13. © UK Mathematics Trust. Original paper on ukmt.org.uk
Answer: E 22%
The area of the page inside the margins is 26 cm × 36 cm, that is 936 cm2. So the percentage of the page occupied by the margins is \(\dfrac{264}{1200}\) × 100%, that is 22%.
Solution © UK Mathematics Trust, from the IMC 2007 solutions.