The length of the parallel sides of a trapezium are in the ratio 5:3 and the distance between them is 12.5 cm.If the area of the trapezium is 450 cm²,find the length of the parallel sides.
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Answer:
length of parallel sides=5:3
let length of parallel sides be 5x and 3x
then
area of trapezium =1/2×(a+b)×h
(a+b)=5x ,3x
h=12.5
area=450cm sq
area of trap=1/2×(a+b)×h
1/2×(5x+3x)×12.5=450
1/2×8x×12.5=450
4x ×12.5=450
4x=450/12.5
4x=36
x=36/4
x=9
9×5=45
9×3=27
length of parallel sides=45,27
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