AI Mentor

Check Your IQ

Free Expert Demo

Try Test

Courses

Dropper NEET Course Dropper JEE Course Class - 12 NEET Course Class - 12 JEE Course Class - 11 NEET Course Class - 11 JEE Course Class - 10 Foundation NEET Course Class - 10 Foundation JEE Course Class - 10 CBSE Course Class - 9 Foundation NEET Course Class - 9 Foundation JEE Course Class -9 CBSE Course Class - 8 CBSE Course Class - 7 CBSE Course Class - 6 CBSE Course

Offline Centres

The difference between two parallel sides of a trapezium is 8 cm. The perpendicular distance between them is 19 cm. While the area of trapezium is 760 cm $2$ . What will be the length of the parallel sides?

see full answer

Your Exam Success, Personally Taken Care Of

1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.

An Intiative by Sri Chaitanya

36cm and 44cm

40cm and 48cm

50cm and 58cm

55cm and 63cm

answer is A.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

It is given a trapezium.
Distance between parallel sides= 19cm
Area= 760 cm

2

Difference between parallel sides = 8cm.
Let the parallel sides of trapezium be x cm, x + 8 cm.
We know that,
Area of Trapezium =

12 ×

(Sum of Parallel side)

×

distance between parallel sides.

760 = 12 (x + x + 8) × 19 ⇒ 80 = 2 x + 8 ⇒ 72 = 2 x ⇒ 36 = x ⇒ x=36 cm

One parallel side = 36 cm
Other parallel side = 36 + 8 = 44cm
Therefore, the correct option is 1.

Watch 3-min video & get full concept clarity

courses

No courses found

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Online Course for IIT JEE

Best Online Course for NEET

Best Online Course for CBSE

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Get Expert Academic Guidance – Connect with a Counselor Today!