Question

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

Answer 1

Answer:

20 m and 35 m

Step-by-step explanation:

Let the parallel sides of a trapezium be 4x and 7x respectively.

Area of trapezium = 385 m²

According to the question ;

Area of trapezium = $\frac{1}{2}$ * (sum of || sides ) * h

⇒ Area of trapezium = $\frac{1}{2}$* (4x + 7x) * 14

⇒ 385  = 7 ( 4x + 7x )

⇒ 11x = 385 / 7

⇒ 11x = 55

⇒ x = 55 / 11

⇒ x = 5

Therefore, parallel sides are ;

4x = 4 * 5 = 20 m

7x = 7 * 5 = 35 m