Question

Mohan wants to buy a trapezium shaped field. Its side along the river is parallel and twice the side

along the road. If the area of the field is 10500 m2 and the perpendicular distance between the two

parallel sides is 100 m, the length of the side along the river is:

Answer 1

Let the length of the field along the road be l m. Hence, the length of the field along the river will be 2l m.

Area of trapezium = 1/2(Sum of parallel sides) (Distance between the parallel sides)

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

105m=3l/2

l=70m

Thus, length of the field along the river = (2 × 70) m = 140 m

Answer 2

side - x

side along river- 2x

Area of trapezium = 0.5*h*(a+b)=10500

                                 100*(3x)=21000

                                         3x=210

                                          x=70

side along river = 140m