Question

The parallel sides of a trapezium are in the ratio 3:5. Its height is 16 cm and area is 768 square cm. Please explain me to find the lengths of the parallel sides.

Answer 1

(3x+5x)×16 = 768
8x = 768/16 = 48
x = 48/8 = 6
3x = 18 & 5x = 30
The lengths of parallel sides are 18cm & 30cm

Answer 2

Answer:

36 cm and 60 cm

Step-by-step explanation:

Let the parallel sides of a trapezium be 3x and 5x respectively.

Area of trapezium = 768 cm²

According to the question ;

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

⇒ Area of trapezium = $\frac{1}{2}$* (3x + 5x) * 16

⇒ 768  = 8 ( 3x + 5x )

⇒ 8x = 768 / 8

⇒ 8x = 96

⇒ x = 96 / 8

⇒ x = 12

Therefore, parallel sides are ;

3x = 3 * 12 = 36 cm

5x = 5 * 12 = 60 cm