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      Question

       In triangle ABC, DE is parallel to BC and D lies on

      AB. If AD:DB = 2:3 and the area of triangle ABC is 125 sq cm, then the area of triangle ADE is:
      A 20 sq cm Correct Answer Incorrect Answer
      B 18 sq cm Correct Answer Incorrect Answer
      C 29 sq cm Correct Answer Incorrect Answer
      D 33 sq cm Correct Answer Incorrect Answer

      Solution

      ATQ, AD:DB = 2:3 So AD:AB = 2:(2+3) = 2:5 Since DE || BC, triangle ADE is similar to triangle ABC Area ratio = (AD/AB)2 = (2/5)2 = 4/25 Area of triangle ADE = 125 x 4/25 = 20 sq cm

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