Points D and E lie on sides AB and AC of triangle ABC with AD : DB = 1 : 2 and AE : EC = 3 : 1. The area of triangle ABC is 48 cm². Find the area of quadrilateral BDEC.

Question

Accepted Answer

36 cm². Area ADE = AD/AB × AE/AC × 48 = 1/3 × 3/4 × 48 = 12 cm². Quadrilateral BDEC = 48 − 12 = 36 cm².

Points D and E lie on sides AB and AC of triangle ABC with AD : DB = 1 : 2 and AE : EC = 3 : 1. The area of triangle ABC is $48 cm^{2}$ . Find the area of quadrilateral BDEC.

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Points D and E lie on sides AB and AC of triangle ABC with AD : DB = 1 : 2 and AE : EC = 3 : 1. The area of triangle ABC is 48cm2. Find the area of quadrilateral BDEC.

Step-by-Step Solution

Master this topic in 30 minutes a day.

More Geometry practice

Points D and E lie on sides AB and AC of triangle ABC with AD : DB = 1 : 2 and AE : EC = 3 : 1. The area of triangle ABC is $48 cm^{2}$ . Find the area of quadrilateral BDEC.