Question

The area of trapezium is 180 cm2 and its height is 9 if one of the parallel side is longer then the other by 6 cm find the two parallel sides

Answer 1

Answer:

Lengths of two parallel sides= 17cm ,23cm

Let a , b are two parallel sides

of a trapezium

Let a = x cm

b = (x+6) cm

height (h) = 9cm

Area(A) = 180 cm²

=> [(a+b)h]/2 = 180

=> [(x+x+6)×9] = 360

=> 2x+6 = 360/9

=> 2x + 6 = 40

=> 2x = 40-6

=> 2x = 34

=> x = 34/2

=> x = 17 cm

Therefore,

a = x = 17 cm

b = x + 6

= 17 + 6

= 23 cm

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