Advanced MathHardChoosing the equation that models a quadratic situation
Advanced Math practice question
A rectangular poster has an area of 600 square centimetres, and its height is 10 centimetres more than its width w. Which equation can be used to find w?
- A. w(w + 10) = 600Correct
- B. w + (w + 10) = 600
- C. 2w + 2(w + 10) = 600
- D. w(w − 10) = 600
Answer: A. w(w + 10) = 600
Area = width × height = w(w + 10). (This gives w = 20.)
Why the other answers are wrong
- B. w + (w + 10) = 600
- A sum, not an area.
- C. 2w + 2(w + 10) = 600
- A perimeter, not an area.
- D. w(w − 10) = 600
- The height is w + 10, not w − 10.
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