Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

The three medians RQ, SP and TN of ΔRST intersect at point O. If the area of ΔRST is 48 cm2, then the area of the quadrilateral SQON is :

Options:

20 cm2

12 cm2

16 cm2

18 cm2

Correct Answer:

16 cm2

Explanation:

We have,

Area of ΔRST = 48 cm2

We know that,

Area of ΔSQO = \(\frac{1}{6}\) × Area of ΔRST

Area of ΔSQO = \(\frac{1}{6}\) × 48 = 8 cm2

Area of SQON = 2 × Area of ΔSQO = 2 × 8 = 16 cm2