Mohan wants to buy a trapezium shaped field

Asked by admin @ in Math viewed by 309 People

"Question 8 Mohan wants to buy a trapezium shaped field. Its side along the river is parallel to and twice the side along the road. It the area of this field is 10500 m^2 and the perpendicular distance between the two parallel sides is 100 m, find the length of the side along the river.

Class 8 Mensuration Page 178"

Answered by admin @


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

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