Advanced MathMediumSquare whose area exceeds its perimeter by a given amount
Advanced Math practice question
The area of a square, in square units, is 12 more than its perimeter, in units. What is the side length of the square?
Answer: 6
s² = 4s + 12 → s² − 4s − 12 = 0 → (s − 6)(s + 2) = 0 → s = 6.
Common wrong answers
- If you answered 4
- 4 gives area 16 and perimeter 16, a difference of 0.
- If you answered 12
- 12 is the given difference, not the side.
- If you answered -2
- −2 is the other root, impossible for a length.
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