Answer:
the total distance is 3400 miles
Step-by-step explanation:
Given the following points: A(0,0) B(400,300) C(−800,800) D(−800,0) we can find the distance between each of them using the following equation: d(X,Y)= √(x2 −x1 )2 +(y2 −y1 ) 2 in this case, we only need to find the distance from A to B and from B to C: d(A,B)= √(400−0)2 +(300−0)2 = √160000+90000 = √250000 =500 d(B,C)= √(−800−400)2 +(800−300)2 = √1440000+250000 = √1690000 =1300 next, notice that the distance from C to D and from D to A are on lines parallel to the x-axis and the y-axis, then, we can see that the distances are the follwing: d(C,D)=800 d(D,A)=800 then, the total distance traveled will be the perimeter of the polygon, Thus, adding the distances we have: P=d(A,B)+d(B,C)+d(C,D)+d(D,A)=500+1300+800+800 =3400 ⇒P=3400miles
