Question

the area of a trapezium is 1586sq.cm and sum of parallel sides is 122cm . find the distance between two parallel sides​

Answer 1

The area of trapezium is 1586 cm square and sum of parallel side is 122 cm find the distance between two parallel sides

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Answer 2

Given:

Area of the trapezium =1586 cm

2

Distance between the parallel sides =26 cm

And, length of one parallel side =38 cm

Let us suppose the length of the other side to be x cm.

Now, area of the trapezium =

2

1

× (Sum of the parallel sides)× (Distance between the parallel sides)

⇒1586=

2

1

×(38+x)×26

⇒1586=

2

26

×(38+x)

⇒13×(38+x)=1586

⇒38+x=

13

1586

⇒38+x=122

⇒x=122−38=84 cm

Hence, the length of the other parallel side is 84 cm.