Multiple choice

If ΔABC and ΔDEF are similar triangle and AB = 1.2 cm and DE = 1.4 cm. Find the ratio of areas of ΔABC and ΔDEF. यदि ΔABC और ΔDEF समरूप त्रिभुज है और AB = 1.2 सेमी. DE = 1.4 सेमी. है तो ΔABC और ΔDEF के क्षेत्रफलों का अनुपात ज्ञात कीजिये।

  1. 6 : 7

  2. 12 : 11

  3. 9 : 16

  4. 36 : 49

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D Correct answer
Explanation

For similar triangles, the ratio of areas equals the square of the ratio of corresponding sides. AB/DE = 1.2/1.4 = 6/7. Therefore, Area(ABC)/Area(DEF) = (6/7)² = 36/49.