Question

The length of the fence of a Trapezium shaped field ABCD is 130 m and side a b is perpendicular to each of the parallel sides Ad and bc. If BC =54 m, cd =19m and ad =42m, find the area of the field

Answer 1

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

Answer 2

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