The 4 cities(A,B,C&D) are to be connected by roads.The budget allows 22 km of road to be build. How can it be done? In the given figure ABCD is a square with each side 8km.
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Make 2 triangles AEB &DFC where AE=BE=DF=CF=5Km each.Join EF which will be 2 km. Now all the 4 points A,B,C,D are connected and total length of road is 5+5+2+5+5=22km
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The roads can be built in the following manner:
(i) 5 km road each from two adjacent cities connecting together in the interior of the square.
(ii) 5 km road each from two adjacent cities (opposite to the previously connected cities) connecting together in the interior of the square.
(iii) Then a 2 km road joining the end-point of these two roads.
- The sum of all the length of roads = 5 + 5 + 5 + 5 + 2 = 22 km
- The image is attached in the figure.
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