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Question:

Length of the fence of a trapezium shaped field ABCD is 120 m. If BC=48 m, CD=17 m and AD=40 m, find the area of this field. Side AB is perpendicular to the parallel sides AD and BC.

Solution:

Length of fence of trapezium ABCD = AB + 17 + 48 + 40
⇒ 120 = 105 + AB
⇒ AB = 15 m
Area of trapezium = 1/2 × Sum of Parallel sides × Distance between Parallel sides
= 1/2 × (40 + 48) × 15
= 660 sq. metres