Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 2D

Question:

If the length of one side of a rectangle is twice that of the other side, and its perimeter is 54 cm, then what is the length of the longer side of this rectangle?

Options:

14 cm

9 cm

27 cm

18 cm

Correct Answer:

18 cm

Explanation:

We know that,

Perimeter of rectangle = 2 ( l + b) 

We have,

Perimeter = 54 cm

⇒ According to the given Question,

 Length of the longer side = twice of breadth

Let the breadth be a

Then, length = 2a

= Perimeter = 2 (l +b) 

= 54 = 2( 2a + a) 

= 54 = 6a 

= a = 9

Hence, length of the longer side = 2a = ( 2 × 9) = 18 cm