what is the distance between the parallel sides of a trapezium whose area is 175sq. m and sum of Parallel sides are 35m.

what is the distance between the parallel sides of a trapezium whose a

1.	what is the distance between the parallel sides of a trapezium whose area is 175sq. m and sum of Parallel sides are 35m.
Answer» <html><body><p>-<a href="https://interviewquestions.tuteehub.com/tag/step-25533" style="font-weight:bold;" target="_blank" title="Click to know more about STEP">STEP</a> explanation:Let the lengths of the parallel sides of the trapezium be 3acm and 4acm. Let the <a href="https://interviewquestions.tuteehub.com/tag/height-1017806" style="font-weight:bold;" target="_blank" title="Click to know more about HEIGHT">HEIGHT</a> of the trapezium or the <a href="https://interviewquestions.tuteehub.com/tag/distance-116" style="font-weight:bold;" target="_blank" title="Click to know more about DISTANCE">DISTANCE</a> between them be 2acm.Area of a trapezium = 21 ×(Sumofparallelsides)×height=> 21 ×(3a+4a)×2a=175cm <a href="https://interviewquestions.tuteehub.com/tag/2-283658" style="font-weight:bold;" target="_blank" title="Click to know more about 2">2</a> => 21 ×7a×2a=175a 2 =25=>a=5Hence, the height of the trapezium =2a=10cm</p></body></html>