Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

A circle touches all the four sides of a quadrilateral ABCD whose sides are AB = 8.4 cm, BC = 9.8 cm and CD = 5.6 cm. The length of side AD, in cm, is:

Options:

4.9

4.2

3.8

2.8

Correct Answer:

4.2

Explanation:

Adding all these, we get

(AP + BP) + (CR + DR) = (BQ + QC) + (DS + AS)

AB + CD = BC + DA

8.4 + 5.6 = 9.8 + DA

= DA = 14 - 9.8 = 4.2 cm

Therefore, AD is 4.2 cm.