Question

The area of the traoezium is 180cm and the distance between the two parallel sides is 9 cm and if one the parallel side is longer than 6 cm find the other parallel side

Answer 1

Interesting One:)

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Solution =))

Given,

Area of Trapezium = 180 cm

Height of given Trapezium = 9cm

first Parallel side be x

Other is 6 cm longer than first one.

So,

Other Parallel side would be,

( x + 6)

We know that , Area of Trapezium = 1/2 (Sum of parallel sides ) × height

Now,

A to Q

180 = 1/2 ( x + x + 6)

=) 18x + 54 = 360

=) x = 360/18

=) x = 17 cm

Hence,

First Parallel side is 17 cm.

Second Parallel side is x + 6 = 23 cm

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Answer 2

Given :-

Area of Trapezium = 180 cm²

height of the trapezium = 9cm

first parallel side be 'P'

Other is 6 cm longer than the first one,

So,

other parallel sides be 'P+6'

we Know that the ,

Area of Trapezium =

1/2×(sum of all parallel sides) × height

Now,

According To question,

Given :-

first parallel side = P

and

other parallel side = P+6

(as we done upper)

height = 9 cm

area = 180 cm²

180 = 1/2 (P+P+6)×9

180×2 = (2P+6)×9

360 = 18P +54

360-54 = 18P

306 = 18P

So,

P = 306/18

P = 17

Hence,

first parallel side is 17 cm

and other parallel side be P+6 = 17+6 = 23 cm

here is your answer ....