In ∆ ABC, O is the centroid and AD, BE, CF are three

Home » Aptitude » Mensuration » Question

In ∆ ABC, O is the centroid and AD, BE, CF are three medians and the area of ∆AOE = 15 cm², then area of quadrilateral BDOFis

1. 20 cm²
2. 30 cm²
3. 40 cm²
4. 25 cm²

Correct Option: B

ar(∆AOE) = ar(∆BOD) = ar(∆BOF)
Area of quadrilateral BDOF = 2 × 15 = 30 sq.cm.