Advanced MathEasy–MediumSimplifying a monomial fraction in context
Advanced Math practice question
The area of a rectangle is 2x² square units and its length is 6x units, where x > 0. If x = 9, what is the width of the rectangle, in units?
Answer: 3
Width = area ÷ length = 2x²/(6x) = x/3. At x = 9, the width is 3. (Check: 2 × 81 ÷ 54 = 3.)
Common wrong answers
- If you answered 27
- 27 is 2x²/6 at x = 9 without dividing by the x in the length.
- If you answered 54
- 54 is the length (6 × 9).
- If you answered 162
- 162 is the area (2 × 81), not the width.
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