Question

A field is in the shape of a trapezium. One of its parallel sides is twice the other parallel side and distance between them is 100m. If area of the field is 10500m sq,find the length of the parallel sides

Answer 1

let the length of a parallel side be x

therefore, other paralel side will be 2x

let height be 100m

therefore, Area of Trapezium=1/2*(sum of parallel side)*height

10500=1/2*(x+2x)*100m

10500=1/2*3x*100

150x=10500

x=10500/150=70m

therefore one side is 70m

and other side's length is 2*70=140m

Answer 2

one side is 74 and other is 140