2 Views

Question : The area of the rhombus is 216 cm2 and the length of its one diagonal is 24 cm. The perimeter (in cm) of the Rhombus is:

Option 1: 52

Option 2: 60

Option 3: 120

Option 4: 100


Team Careers360 8th Jan, 2024
Answer (1)
Team Careers360 21st Jan, 2024

Correct Answer: 60


Solution : Area of Rhombus = 216 cm 2
Length of one of the diagonals ($d_1$) = 24 cm
We know, the area ($A$) of a Rhombus = $\frac{1}{2}d_1d_2$
$⇒d_2 = \frac{2A}{d_1}$
$⇒d_2 = \frac{2×216}{24}$
$⇒d_2 = 18$ cm
Also, the diagonals of a Rhombus bisect each other at right angles.
Therefore, each side (s) of the Rhombus is given by:
s = $\sqrt{(\frac{d_1}{2})^2+(\frac{d_2}{2})^2}$
Putting the given values:
$\therefore$ s = $\sqrt{(\frac{24}{2})^2+(\frac{18}{2})^2}$ = 15 cm
$\therefore$ The perimeter, $P = 4×s= 4×15 = 60$ cm
Hence, the correct answer is 60.

How to crack SSC CHSL

Candidates can download this e-book to give a boost to thier preparation.

Download Now

Know More About

Related Questions

TOEFL ® Registrations 2024
Apply
Accepted by more than 11,000 universities in over 150 countries worldwide
Manipal Online M.Com Admissions
Apply
Apply for Online M.Com from Manipal University
View All Application Forms

Download the Careers360 App on your Android phone

Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile

150M+ Students
30,000+ Colleges
500+ Exams
1500+ E-books