the area of trapezium is 1586cm square and distance between the parallel sides is 26cm if one of the parallel side is 62cm find the other
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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
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