Manik's field is in the shape of a trapezium with non-parallel sides each equal to 100 m. If the perimeter of his field is 460 m and the perpendicular distance between the parallel sides is 80 m then what is the area of his field
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Let the parallel sides be a and b
Perimeter = a+b + 2× ( non parallel sides)
460 m = a+b + 2 × (100)
460 = a+b + 200
a+ b = 260 m
area of trapezium
= 1/2 × perpendicular distance × (a+b)
= 1/2 × 80 × 260
= 40 × 260
:. area of trapezium = 10400 m^2
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