Question

Parallel side of a trapezium are in the ratio 3:4 if the distance between the parallel sides is 9cm and its area is 126cm^2. Find the length of its parallel sides

Pls help...

Answer 1

Ans IS LENGTH OF THE SMALLER SIDE IS = 12 CM AND LARGER SIDE IS 16 CM

Step-by-step explanation:AREA OF TRAPEZIUM IS = 1/2*SUM OF THE PARALLEL SIDES* PERPENDICULAR DISTANCE BETWEEN THE PARALLEL SIDES.

126=1/2*(3x+4x)*9

x = 4 CM THEN SMALLER SIDE IS 3*4=12 AND 4*4=16 CM

Answer 2

Step-by-step explanation:

Let the parallel sides of the trapezium be 3x and 4x.

Given, distance between them is 9 cm and area is 126 m².

∴ Area of trapezium = (1/2) * (Sum of parallel sides) * height

⇒ 126 = (1/2) * (3x + 4x) * 9

⇒ 252 = 7x * 9

⇒ 28 = 7x

⇒ x = 4

Then:

⇒ 3x = 12

⇒ 4x = 16

Therefore, length of its parallel sides are 12 cm and 16 cm.

Hope it helps!