Luiza

Luiza delivers newspapers in her neighborhood. If you plot the points (-1, 1), (4, 1), (4, -2), and (-1, -2), you will create a representation of the route she takes in miles. How many miles does her route cover?

Correct answer:

x =  13 mi

Step-by-step explanation:

$$\begin{gathered} A=(-1,1) \\ B=(4,1) \\ C=(4,-2) \\ D=(-1,-2) \\ {d}_1=dist(B,A)=|BA|=\sqrt{(B_x-A_x{)}^2+(B_y-A_y{)}^2}=\sqrt{(4-(-1){)}^2+(1-1{)}^2}=5 \\ {d}_2=dist(C,B)=|CB|=\sqrt{(C_x-B_x{)}^2+(C_y-B_y{)}^2}=\sqrt{(4-4{)}^2+((-2)-1{)}^2}=3 \\ {d}_3=dist(D,C)=|DC|=\sqrt{(D_x-C_x{)}^2+(D_y-C_y{)}^2}=\sqrt{((-1)-4{)}^2+((-2)-(-2){)}^2}=5 \\ x=d_1+d_2+d_3=5+3+5=13\text{mi} \end{gathered}$$

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