Four cities formed a square.We have to build a road. On the road we have to reach from any city to any other city.
We have money for only 22 km road, exactly .
4a+22a=224a+2\sqrt{2}a=224a+22a=22
2a+2a=112a+\sqrt{2}a=112a+2a=11
a=112+2a=\frac{11}{2+\sqrt{2}}a=2+211
a=112(2−2)a=\frac{11}{2}(2-\sqrt{2})a=211(2−2)
Side of the square is 112(2−2).\frac{11}{2}(2-\sqrt{2}).211(2−2).
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