AlgebraEasy–MediumGreatest whole side under a perimeter limit
Algebra practice question
The side length of an equilateral triangle is a whole number of centimetres, and its perimeter is less than 45 centimetres. What is the greatest possible side length, in centimetres?
Answer: 14
3s < 45 → s < 15. The greatest whole number is 14.
Common wrong answers
- If you answered 15
- 15 gives a perimeter of exactly 45, which is not less than 45.
- If you answered 22
- 22 comes from 2s < 45, treating the triangle as having two sides.
- If you answered 45
- 45 is the perimeter limit.
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