in a trapezium shaped field one of the parallel side is twice the other if the area of the field is 9450 m square and perpendicular distance between two parallel side is 84 metre find the length of the longest parallel sides
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Soln:-
Let the 1st || side be x m
So, other || side =2x
Height =84m
Area =1/2(sum of the || sides)×h
=1/2(x+2x)×84
=>9450=1/2(3x)×84
=>9450/84=3x/2
=>112.5=3x/2
=>225=3x
x=75 m
length of longer || side =2x=2×75m=150m
Let the 1st || side be x m
So, other || side =2x
Height =84m
Area =1/2(sum of the || sides)×h
=1/2(x+2x)×84
=>9450=1/2(3x)×84
=>9450/84=3x/2
=>112.5=3x/2
=>225=3x
x=75 m
length of longer || side =2x=2×75m=150m
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