Question

the ratio of length of parellel sides of trapezium is 2:3the distance is 16cm if area is 320 sq.cm find the length of parellel sides

Answer 1

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Answer 2

hiii!!!

here's ur answer...

given that the parallel sides of the trapezium are in ratio 2:3

let the parallel sides be 2x and 3x.

b1 = 2x, b2 = 3x

height ( distance between the parallel sides ) of the trapezium is 16cm.

area of the trapezium = 320cm²

therefore 1/2 × h ( b1 + b2 ) = 320cm²

==> 1/2 × 16 ( 2x + 3x ) = 320cm²

==> 8 × 5x = 320cm²

==> 5x = 320/8

==> 5x = 40

==> x = 40/5

==> x = 8cm

hence, b1 = 2x

= 2 × 8

= 16cm

b2 = 3x

= 3 × 8

= 24cm

VERIFICATION :-

area of the trapezium = 1/2 × h ( b1 + b2 )

= 1/2 × 16 ( 16 + 24 )

= 8 × 40

= 320cm²

hence verified

thus the Length of the parallel sides are 16cm and 24cm

hope this helps...!!