Question

the length of the parallel sides of a Trapezium are in the ratio 4:7 if the height of trapezium is 14 and its area is 385 sq m, find the length of its parallel sides.​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Let the parallel sides of trapezium be 4x and 7x

Height =DE=14 m (given)

Area =385 m^2

(given)

Area of trapazium = 1/2 (AB+CD)×DE

⇒385=1/2 (7x+4x)×14

⇒11×7x=385

⇒x=5 m

∴ the sides are 4x=4×5=20 m

7x=7×5=35 m