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      Question

      In △ ABC, D and E are the points on sides AB and AC.

      respectively and DE | BC. BC = 8 cm and DE = 5 cm. If the area of △ ADE = 45 cm², then what is the area (in cm²) of △ ABC?
      A 105.2 Correct Answer Incorrect Answer
      B 115.2 Correct Answer Incorrect Answer
      C 64 Correct Answer Incorrect Answer
      D 125 Correct Answer Incorrect Answer

      Solution

      DE װ BC DE = 5 and BC = 8 ΔADE and ΔABC are similar. => (DE/BC)2 = Δ1/Δ2 => 25/64 = Δ1/Δ2 => 25 ------ 45 => 64 ------ (45/25) × 64 = 115.2 cm2

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