Question

The lengths of the parallel sides of a trapezium are in the ratio 4:7.if the height of trapezium is 14 m and it's area is 385sq.m,find the length of its parallel sides

Answer 1

Solution -

​​Let one || side be 4x meters

So, the another || side be 7x meters  

According to Question,  

[ ∵ Area of trap. = 1/2 × (sum of || sides) × height ]  

Area of trapezium = 385 m²  

1/2 × (4x + 7x) × 14 = 385  

⇒ 11x = 385 × 2/14 = 385/7  

⇒ 11x = 55  

⇒ x = 55/11    

⇒ x = 5  

Measurements -  

One || side = 4x = 4(5) = 20 m  

Another || side = 7x = 7(5) = 35 m  

∴ The parallel sides are 20 m and 35 m

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