PLEASE HELP GEOMETRY
A road crew is working close to a city sidewalk. They have created a sizeable ditch in an effort to replace old sewage pipes. The city plans to fence in the work area to keep citizens from finding themselves in harm's way. What is the perimeter of a triangular-shaped fence the city can place around the worksite using integer coordinates (no decimals) on the grid? You must show all work to receive credit.

http://seminole.flvs.net/webdav/assessment_images/educator_geometry/v15/module06/0608_02_g4_q4.jpg

Question

PLEASE HELP GEOMETRY
A road crew is working close to a city sidewalk. They have created a sizeable ditch in an effort to replace old sewage pipes. The city plans to fence in the work area to keep citizens from finding themselves in harm's way. What is the perimeter of a triangular-shaped fence the city can place around the worksite using integer coordinates (no decimals) on the grid? You must show all work to receive credit.

http://seminole.flvs.net/webdav/assessment_images/educator_geometry/v15/module06/0608_02_g4_q4.jpg

mathmale · Answer

Sorry, Kendra, but your diagram won't open; instead, I get an error message.  Have you any other way in which to share the diagram, e. g., with a cell phone photo?

anonymous · Answer

@mathmale

mathmale · Answer

I can see your illustration now, although the right-hand side has been cut off.  
If you can print out this illustration, then take a ruler and draw a triangle around the odd-shaped ditch, making sure that each of the lines you draw goes through an integer mark on either the x- or the y-axis.  Looks like there are many possible answers to this question.  
Once you have drawn such a triangle, find the length of each side using the distance / length formula.  Add up the lengths of the 3 sides and you're done.

anonymous · Answer

Can you help with this last one please? @mathmale