The area of a trapezium is 1586 CM square and sum of parallel sides is 122 cm. find the distance between two parallel sides?
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Answer:
Given:
Area of the trapezium =1586 cm2
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 =21× (Sum of the parallel sides)× (Distance between the parallel sides)
⇒1586=21×(38+x)×(26)
⇒1586=226×(38+x)
⇒13×(38+x)=1586
⇒38+x=131586
⇒38+x=122
⇒x=122−38=84 cm
Hence, the length of the other parallel side is 84 cm.
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