Answer:
You are generating 5 coordinate pairs:
Tree 1 (80,0), Tree 2 (50,-100),Tree 3 (-60,-120), Tree 4 (-70,80) and Tree 5 (10,110)
You can divide each set of coordinates by 10 to plot on graph paper where each square represents 10 by 10, e.g, plot 50, -100 as 5,-10
Use distance formula to find following distances:
Tree 1 to Tree 2
Tree 2 to Tree 3
Tree 3 to Tree 4
Tree 4 to Tree 5
Tree 5 to Tree 1
example of use distance formula for Tree 1 to Tree 2: sqrt[(80-50)^2 + (0 -(-100))^2] = 104
Compute perimeter as sum of distances, say it is x.
Compute cost of company 1: 14 * x
Compute cost of company 2: 4600 + (x-500)*29
Pick whatever company has the lowest price
Explanation:
You could solve this through the pythogorous theorem...by letting the hous be at point (0,0) in the graph where the 2 x & y axis intersect. Then,
Tree(a) is at point (80,0)
Tree(b) is at point (50,-100)
Tree(c) is at point (-60,-120)
Tree(d) is at point (-70, 80)
Tree(f) is point (10,110)
Then the distance between A & B ican be calculated from the Graph as
AB = SqRT( [x coordinate distance of Tree(a) from (0,0) - x-coordinate distance of Tree(b) from 0,0)]^2 + [0-100]^2 )
= SqRT( 30^2 + (100)^2)
Similarly, from the graph ===>
BC = SqRT( (110)^2 + (20)^2)
DC = SqRT((10)^2 + (200)^2)
DF = SqRT( (30)^2 + (80)^2)
Once these distances are calculated, you can calculate the answers to the rest of the questions.