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Find the percentage increase in the area of a triangle if its each side is doubled.

Question and options

Find the percentage increase in the area of a triangle if its each side is doubled.
  1. 100%
  2. 200%
  3. 300%
  4. 400%

Answer and explanation

Correct answer: C - 300%
Doubling every side scales area by 22=42^2 = 4, so the increase is (4−1)×100=300%(4 - 1) \times 100 = 300\%. Answering 100% takes the doubling of the sides as the change in area, which ignores that area grows with the square of the sides.

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