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 BC = 54 m. CD = 19 m and AD = 42 m, find the area of
the field.
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Step-by-step explanation:
Length of AB = 54m
Length of AD = 42 m
Length of CD = 19m
Perimeter of trapezium ABCD= 130m
Length of side BC = 130-(54+42+19)
= 130-115 = 15m
Area of the trapezium field = 1/2 X h ( sum of parallel sides )
= 1/2 X AB ( AD + BC )
= 1/2 X 54 ( 42+15)
= 1/2 X 54 X 57
= 1539 m2
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