Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 2D

Question:

Match List – I with List – II.

LIST I

LIST II

 A. Perimeter of Right angled isosceles triangle with side ‘a’ 

 I. $\pi\left(r_2^2-r_1^2\right)$ 

 B. Area of parallelogram

 II. base × height 

 C. Area of a ring with $r_1$ and $r_2$ as radius of inner and outer circle 

 III. $2 a+\sqrt{2} a$ 

 D. Area of equilateral triangle with side ‘a’ 

 IV. $\frac{\sqrt{3}}{4} a^2$ 

Choose the correct answer from the options given below:

Options:

A-II, B-I, C-III, D-IV

A-III, B-II, C-I, D-IV

A-I, B-II, C-III, D-IV

A-II, B-I, C-IV, D-III

Correct Answer:

A-III, B-II, C-I, D-IV

Explanation:

A. Perimeter of Right angled isosceles triangle with side ‘a’

H² = P²+ B²

= a² + a²= 2a²

H = a√2

Perimeter =  $2 a+\sqrt{2} a$ (III)

B. Area of parallelogram = base × height (II)

C. Area of a ring with $r_1$ and $r_2$ as radius of inner and outer circle

= π ( r2² - r1²) (I)

 

D. Area of equilateral triangle with side ‘a’  = $\frac{\sqrt{3}}{4} a^2$  = (IV)

The correct answer is Option (2) → A-III, B-II, C-I, D-IV