AlgebraHardGreatest integer length under a perimeter limit
Algebra practice question
A rectangle has a width of 5 units and a perimeter of less than 40 units. What is the greatest possible integer value of its length?
Answer: 14
2(5 + L) < 40 gives L < 15, so the greatest integer is 14.
Common wrong answers
- If you answered 15
- 15 would make the perimeter exactly 40, which is not less than 40.
- If you answered 30
- 30 comes from 40 − 10 without halving.
- If you answered 35
- 35 ignores the width and the factor 2.
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