Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

The three medians AX, BY and CZ of ΔABC intersect at point L.  If the area of ΔABC is 42 cm2, then the area of the quadrilateral BXLZ is?

Options:

7 cm2

14 cm2

6 cm2

12 cm2

Correct Answer:

14 cm2

Explanation:

Medians cut the area of triangle in six equal parts.

ΔBLX = \(\frac{1}{6}\) ΔABC = \(\frac{1}{6}\) × 42 cm2 = 7 cm2

Quadrilateral BXLZ = 7 cm+ 7 cm= 14 cm2