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As the field is in trapezium shape, we will use the formula to find the area of trapezium

Let the side DC of the roadside (b₁ of trapezium) be x cm

The opposite parallel side AB (b₂ of trapezium) = 2x m

h = 100 m (given)

Area of the field = 10500 m2

Area of trapezium = 1/2 (b₁ + b₂) × h

10500 = 1/2 (2x + x) × 100

2 × 10500 = 3x × 100

21000 = 300x

x = DC = 70 m

So, AB = 2x = 2 × 70 = 140 m

Thus, the length of the field = 140 m.

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Answer:

Its side along the river is parallel to and twice the side along the road. If the area of this field is 10500 m2 and the perpendicular distance between the two parallel sides is 100 m, find the length of the side along the river. Thus, the length of the field riverside = 140 m.

Step-by-step explanation:

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