Advanced MathMediumWidth of a rectangle from its area and a length rule
Advanced Math practice question
A rectangle's length is 3 units more than twice its width, and its area is 44 square units. What is the width of the rectangle?
Answer: 4
w(2w + 3) = 44 → 2w² + 3w − 44 = 0 → (2w + 11)(w − 4) = 0 → w = 4 (positive).
Common wrong answers
- If you answered 11
- 11 is the length (2 × 4 + 3).
- If you answered 22
- 22 comes from 2w = 44, ignoring the +3.
- If you answered -5.5
- −5.5 is the rejected negative root.
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