16Hit1600
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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