Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 2D

Question:

In the given figure ABCD is square and OE = 7 cm.

The perimeter of the figure is : 

Options:

42 cm

44 cm

64 cm

86 cm

Correct Answer:

64 cm

Explanation:

OE = 7 cm = radius of semicircle

Here, OE = OA = OD = 7 = radius and 

AD = OA + OD = 7 + 7 = 14 cm = AB = BC = CD = side of the square

Perimeter of Semi-Circle =$πr=\frac{22}{7}×7=22$cm.

So, Perimeter of the above figure = Perimeter of Semi-Circle + AB + BC + CA = 22 + 14 + 14 + 14 = 64 cm.