Question

The trails connecting four camping locations G, H, I, and J are shown. Trails GH, HI, IJ, JG make a rectangular shape. One trail GI connects locations G and I directly, as shown below.

http://www.photoshop.com/users/doctorwho15/assets/bb4581f3c7a5472aabe7326191858f61

A camping team started from location G and returned to the same camp walking through camps H, I, and J. What is the total distance the team walked? Using complete sentences, justify your answer.

Answer 1

Oh, so you need the perimeter of the rectangle, huh.
Time to use the Pythagorean Theorem again!
a^2+b^2=c^2 Since 17 is the hypotenuse, c=17. You can let 8=a (or b, it doesn't really matter), then solve for the remaining variable.

Answer 2

so like this:

8^2+b^2=17^2
64 + b^2= 289
b^2= 225
b^2=sqrt 225
b^2=15

Answer 3

Exactly! You're getting the hang of it!

Answer 4

now that ive done the equation what do i write for this, What is the total distance the team walked?

Answer 5

Well, b aka 15 is the longer length of the rectangle and a aka 8 is the shorter length. To find the perimeter of the rectangle, you need two of each length and add them all together. Do you get it?

Answer 6

not really lol

Answer 7

Haha, ok. Hm, 15 is the length of GH and IJ, right? and since this is a rectangle, 8 is the length of JG and HI. We need to add GH+HI+JI+JG to get our perimeter. So, if you plug the numbers in, this would be 15+8+15+8. Does that make sense?

Answer 8

so do i write, they walked a total of 46 m because when we add GH+HI+JI+JG to get the perimeter we would get 46

Answer 9

Yeah, I think that would work.