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A field is in the form of a trapezium. Its area is 1586 m2 and the distance

between its parallel sides is 26 m. If one of the parallel sides is 84 m, find the

other.

Answer:

we know that the length of the parallel sides is 84cm and let us consider the

other side as xcm

Height (h) = 26cm

Area of trapezium = 1586cm2

By using the formula Area of trapezium = ½ × (sum of parallel sides) × height

1586 = ½ × (84+x) × 26

1586 = ½ × (84+x) × 26

1586 = (84+x) × 13

84+x = 1586/13

84+x= 122

x = 122 – 84 = 38

∴ The length of the other parallel side is 38cm.

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