Question

The area of a trapezium is 384cmsquare .It's parallel sides are in the ratio 3:5 and the distance between them is 12 cm .Find the length of each parallel side

Answer 1

Answer:

Step-by-step explanation:parallel sides are-3*8 and 5*8

24cm and 40cm

Answer 2

The area of a trapezium is 384cmsquare .It's parallel sides are in the ratio 3:5 and the distance between them is 12 cm .

Let a and b are parallel sides

of a trapezium.

a:b = 3:5

Let a= 3x , b = 5x

h = 12cm

Area (A) = 384 cm²

=> [(a+b)h]/2 = 384

=> [(3x+5x)×12]/2 = 384

=> 8x * 6 = 384

=> x = 384/(8×6)

=> x = 8

Therefore,

a = 3x = 3×8 = 24cm

b = 5x = 5×8 = 40cm

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