Question

8.
The lengths of the parallel sides of a trapezium are in the ratio 5:3 and the distance
between them is 12.5 cm. If the area of the trapezium is 450 cm?, find the lengths of its
parallel sides.​

Answer 1

Answer:

45 cm and 27 cm

Step-by-step explanation:

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

Area of trapezium = 450 cm²

Height of trapezium (h) = 12.5 cm

Area of trapezium = ½×(Sum of parallel sides)×h

⇒ 450 cm² = ½×(5x+3x)×12.5 cm

⇒ 450 cm² = ½×(8x)×12.5 cm

⇒ 450 cm² = (4x)×12.5 cm

⇒ 450 cm²/12.5 cm = 4x

⇒ 36 cm = 4x

⇒ x = 36 cm/4

⇒ x = 9 cm

Therefore, lengths of parallel sides is

5x = 5(9 cm) = 45 cm

3x = 3(9 cm) = 27 cm