Question

The parallel sides of a trapezium are in ratio 3:4 and the distance between them is 8cm. if the area of the trapazium is 392 cm2 find the lenght of parallel sides​

Answer 1

Step-by-step explanation:

2×(3×+4×)/2=392

2(3×+4×)= 392/2= 196

14×= 196

×=196/14

×=14

1 side=3×=3×14=42 cm

2side=4× =4×14=56cm

Answer 2

Answer:

★ Parallel sides will be 42 and 56 cm★

Step-by-step explanation:

Given:

• Parallel sides of trapezium are in ratio 3:4
• Distance between parallel sides is 8 cm
• Area of trapezium is 392 cm²

To Find:

• Length of parallel sides

Solution: Let x be common in given ratio

∴ Parallel Sides of Trapezium will be 3x and 4x

★ We know that Area of Trapezium = 1/2(Sum of parallel sides ) ( Distance between them) ★

$\small\implies{\sf }$ Area of Trapezium =1/2 ( 3x + 4x ) ( 8 )

$\small\implies{\sf }$ 392 = 1/2 ( 7x ) ( 8)

$\small\implies{\sf }$ 392 = 1/2(56x)

$\small\implies{\sf }$ 392 = 28x

$\small\implies{\sf }$ 392/28 = x

$\small\implies{\sf }$ 14 cm = x

Hence, The Parallel sides of the Trapezium will be 3x = 3(14) = 42 cm and 4x = 4(14) = 56 cm