LIVE Course for free

Rated by 1 million+ students
Get app now
0 votes
16 views
in Aptitude by (30.0k points)
closed by
The area of a trapezium is 2400 sq.cm and the sum of the parallel sides is three times the height. If one of the parallel sides is 40cm, then the other side length in cm is ________.
1. 120 cm
2. 40 cm
3. 80 cm
4. 60  cm

1 Answer

0 votes
by (54.3k points)
selected by
 
Best answer
Correct Answer - Option 3 : 80 cm

Given :

The area of a trapezium is 2400 sq.cm and the sum of the parallel sides is three times the height and one of the parallel sides is 40cm.

Concept used :

Area of  a trapezium = (1/2) × (sum of parallel sides) × Height 

Calculations :

Let the length of other side be 'l' cm 

40 + l = 3 × Height 

Height = (40 + l)/3

Area of trapezium = (1/2) × (40 + l) × (40 + l)/(3) 

(40 + l)2 = 2400 × 2 × 3 

⇒ (40 + l)2 = 14400

⇒ 40 + l = √14400 

⇒ l + 40 = 120 

⇒ l = 80 

∴ Option 3 will be the correct answer.

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...