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. A rectangle labeled GHIJ with width GJ equal to 8 km and diagonal GI equal to 17 km. 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

2*8 + 2*sqrt(17*17 - 8*8)

Answer 2

find GH using pythagoras' theorem

GH^2 = 17^2 - 8^2

GH = 15

find the perimeter of the rectangle to fins the distance walked.

You should get 46