Answer:
Let the length of the side along the river be \[2x\,\,m\]. Then, the length of the side along the road is \[x\,\,m\]. Area of the field = 10,500 square metres \[\Rightarrow \] \[\frac{(2x+x)\times 100}{2}=10,\,500\] \[\Rightarrow \] \[150x=10,\,500\] \[\Rightarrow \] \[x=\frac{10,\,500}{150}\] \[\Rightarrow \] \[x=70\] \[\Rightarrow \] \[2x=2\times 70=140\,m\] Hence, the length of the side along the river is 140 m.
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