8 Views

Question : The ratio of the length of the parallel sides of a trapezium is 3 : 2. The shortest distance between them is 15 cm. If the area of the trapezium is 450 cm$^2$ the sum of the length of the parallel sides is:

Option 1: 15 cm

Option 2: 36 cm

Option 3: 42 cm

Option 4: 60 cm


Team Careers360 3rd Jan, 2024
Answer (1)
Team Careers360 10th Jan, 2024

Correct Answer: 60 cm


Solution : Given: Height = 15 cm
Area of trapezium = 450 cm$^2$
Let the parallel sides be $3x$ and $2x$.
We know that,
Area of trapezium = $\frac{1}{2}$ × (Sum of parallel sides) × height
$450 = \frac{1}{2}×(3x+2x)×15$
⇒ $900 = 5x\ ×\ 15$
⇒ $x=12$
$\therefore$ The parallel sides are 3 × 12 = 36 and 2 × 12 = 24.
Sum of parallel sides = 36 + 24 = 60
Hence, the correct answer is 60 cm.

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