Question

BASED ON MENSURATION
The area of trapezium is 216m2(square) and its height is 24m. If one of the parallel side is 17m then find length of other parallel sides.

Answer 1

area of trapezium = 216m2
we know that area of trapezium=1/2x sum of parallel sides x distance between them.
1/2x(17+x)x24=216
solving above equation we get x =1m

Answer 2

Ar. of trap = 1/2 X h X ( l1 +l2)

or 216 m² = 1/2 X 24 X ( 17 + l2)

or 216 m² = 12 X (17 + l2 )

or 17 + l2 = 216 /12

or 17 + l2 = 18

or l2 = 18 -17

or l2 = 1m.

hence length of other parallel side = 1m