 # RS Aggarwal Solutions Class 8 Mathematics Solutions for Area of a Trapezium and a Polygon Exercise 18A in Chapter 18 - Area of a Trapezium and a Polygon

Question 4 Area of a Trapezium and a Polygon Exercise 18A

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.

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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