The area of a trapezium is 216 m2 and its height is 12 m. If one of the parallel sides is 14 m less than the other, find the length of each of the parallel sides.
Given
Let length of first parallel side X
Length of other parallel side is X – 14
Area of trapezium= 216 m2
Let Height (h) =12 m
We know that area of trapezium is 
× (sum of parallel sides) × height
Therefore Area of trapezium is 
× (X – 14 +X) × 12 =216 m2.
× (X – 14 +X) × 12 =216
⇒
× (2X – 14) × 12 =216
⇒ 2X – 14 = 
⇒ 2X – 14 = 36
⇒2X = 36 + 14 =50
⇒X = 25
... length of the parallel sides is X=25 cm and X — 14 = 25 – 14 = m.
Therefore lengths of the parallel sides are 25 m, 11 m.
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