Question

Your apartment is at (0, 0) on a coordinate plane. You want to go to Chicken Shack (CS) and get some tasty chicken tenders, with buffalo sauce, curly fries, ranch and a Diet Pepsi. Chicken Shack's (CS) location is at (3, 4) . After Chicken Shack (CS ), you go to Baskin Robbins (BR) with your two co-workers at the location (- 4, 4) . What is the total distance you traveled?

Answer 1

Answer:

The answer is below

Step-by-step explanation:

The distance between two points on a coordinate plane is given by:

$Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Given the location of the apartment (AP) is at A(0,0), the Chicken Shack's (CS) location is at C(3, 4) and Baskin Robbins (BR) is at the location B(- 4, 4). Hence the following distance are:

$|AB|=\sqrt{(-4-0)^2+(4-0)^2} =4\sqrt{2}\ units\\\\|AC|=\sqrt{(3-0)^2+(4-0)^2}=5\ units \\\\|BC|=\sqrt{(3-(-4))^2+(4-4)^2}=7\ units$

Hence the total distance travelled = distance between the apartment and chicken shack +distance between apartment and Baskin Robbins + distance between Baskin Robbins and chicken shack

total distance travelled = AB + BC + AC = 4√2 + 7 + 5

total distance travelled = 17.66 units