The length of the fence of a trapezium-shaped field ABCD is 130 m and side AB is perpendicular to each of the parallel sides AD and BC. If m, m and m, find the area of the field.

Given


Length of parallel sides


AD = 42 m


BC = 54 m


Given that total length of fence is 130 m


That is AB + BC +CD +DA = 130


AB + 54 + 19 + 42 = 130


Therefore AB = 15


Height (AB) = 15 m


We know that area of trapezium is × (sum of parallel sides) × height


Therefore Area of trapezium = × (42 + 54) × 15 = 720 m2


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