Question

The parallel sides of a trapezium are in ratio 6:7 and the distance between them is 12.5cm Find theength of the sides if the area is 6.50m²​

Answer 1

Answer:

4800 cm and 5600 cm

Step-by-step explanation:

Let the parallel sides of a trapezium be 6x and 7x respectively.

Area of trapezium = 6.50 m² = 65000 cm²

According to the question ;

Area of trapezium =  * (sum of || sides ) * h

⇒ Area of trapezium =  * (6x + 7x) * 12.5

⇒ 65000 cm² = 12.5 ( 13x ) / 2

⇒ 12.5 * 13x = 65000 * 2

⇒ 13x = 130,000 / 12.5

⇒ 13x = 10,400

⇒ x = 10,400 / 13

⇒ x = 800

Therefore, parallel sides are ;

6x = 6 * 800 = 4800 cm

7x = 7 * 800 = 5600 cm

Answer 2

Answer:

4800cm and 5600cm.........