Answer to Question #110422 in Geometry for Nishikant

Question

Can somebody answer this quiz ?

There are 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 . So, how to build ??

Answer 1

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 .

$4a+2\sqrt{2}a=22$

$2a+\sqrt{2}a=11$

$a=\frac{11}{2+\sqrt{2}}$

$a=\frac{11}{2}(2-\sqrt{2})$

Side of the square is $\frac{11}{2}(2-\sqrt{2}).$