Question

A network of roads connects four towns. Find the total length of the roads. The side length of each square is equal to one mile.

Answer 1

Step 1

(

Define the mathematical formula for the distance between two points

`\text{Distance betwe}en\text{ 2 points =}\sqrt[]{(x_2-x_1)^2-(y_2-y_1)^2}`

Step 2

state the related points on the road that will be used to find the length of the roads

Town A (1,2), Town D(3,8)

Town D (3,8), Town C (9,8)

Town A (1,2) , Town B (8,1)

Town C (9,8), Town B(8,1)

Step 3

Input the x and y coordinates and find the distance between the points and sum the distances to get the total length

`\text{Distance }of\text{ road 1 }=\text{ }\sqrt[]{(3-1)^2+(8-2)^2}`