A road network is to be constructed to connect 4towns A,B,C,D as above. The budget allows a total road length of 22km. How should the road be laid out?
Answers
A road network is to be constructed to connect 4towns A,B,C,D which is square in shape of side 8 km. The budget allows a total road length of 22km. How should the road be laid out?(Correct question)
Given:
ABCD is a square with side of 8 km.
To find:
Way to construct the road of 22 km to connect the towns A B C and D.
Solution:
1)We know that the perimeter of the square is 32 km so we can't construct the road along the circumference of the square.
2) So we will construct the road under the squared area between the given four towns.
3) The correct and systematic construction of the road given in the attached picture please go through it.
4) In the figure if we construct the 5 Km road under it then we will get the Pythagorean triplet of (3,4,5) So in between the two triangles there must be the road of 2 km which connect all the four towns.
There will be only five roads of 5km, 5km, 5km, 5km and 2 km which makes the project road of 22 km.
