1.

The area of a trapezium is 30 cm² and the distance between its parallel sides is 4 cm. If one of the parallel sides is of length 0.1 m, find the length of the other parallel side.1). 32). 43). 54). 6

Answer»

Let the length of the required SIDE be x cm

Area of the trapezium = [$(\FRAC{1}{2})$ × (sum of parallel sides) × (Distance between parallel sides)]

One of the parallel side = 0.1 m = 10 cm

Then, area of the trapezium = {¹/? × (10 + x) × 4} cm²

= (20 + 2x) cm²

But, the area of the trapezium = 30 cm² (given) 

⇒ 20 + 2x = 30 

⇒ 2x = 30 - 20 

⇒ 2x = 10 

⇒ x = 10/2 

⇒ x = 5

∴ The length of the other side is 5 cm.


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