Mathematics · Geometry

In ΔABC, D and E are points on sides AB and BC, respectively, such that DE || AC. If BD = 4√6 cm and AB = 12√3 cm, then what is the ratio of the area of ΔBDE to that of quadrilateral ACED?

Verified Solution4 OptionsUpdated: October 2026👁️1 View

11 : 3✓
22 : 7
32 : 9
44 : 11

Correct answer

1 : 3

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In ΔABC, D and E are points on sides AB and BC, respectively, such that DE || AC. If BD = 4√6 cm and AB = 12√3 cm, then what is the ratio of the area of ΔBDE to that of quadrilateral ACED?

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In ΔABC, D and E are points on sides AB and BC, respectively, such that DE || AC. If BD = 4√6 cm and AB = 12√3 cm, then what is the ratio of the area of ΔBDE to that of quadrilateral ACED?

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