Question

Sol. (1) Let the parallel sides be ( 5 x ) and ( 3 x ) metres.
Area of trapezium ( =frac{1}{2} ) (sum of parallel sides)
distance between them
( Rightarrow 1440=frac{1}{2}(5 x+3 x) times 24 )
( Rightarrow 12 times 8 x=1440 )
( Rightarrow x=frac{1440}{12 times 8}=15 )
( therefore ) The longer parallel side ( =5 x=5 times 15=75 ) metres

# Ex.2. The area of a field in the shape of a trapezium mensures 1440 m2. The perpendicular distance between its parallel sides is 24 m. If the ratio of the parallel sides is 5 : 3, the length of the longer parallel side is : (1) 75 m (2) 45 m (3) 120 m (4) 60 m

Solution