Mohan wants to buy a Trapezium shaped file it sides along the river is parallel to the twice the sides along the road if the area of the the file is 10500 m2 and the perpendicular distance between the two parallel sides is 100m2 find the length of the river
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S river = 140m
Step-by-step explanation:
Let the side along the road (S road) be x and then side along the river (S river) will be 2x.
Area of Trapezium = (Sum of parallel sides) height/2
10500 m² = (x+2x)×100/2m
10500 m² = 3x × 50m
210 m = 3x
x = 70 m
So, S road = 70m and S river = 2x = 70 × 2 = 140m
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