+0  
 
0
779
3
avatar+87 

ON A GRID

(0, 0) (-7, 6) (-2, 14) (5, 8) Then back to (0,0)

A scale of 1 square to 60m is used for the grid.

Determine the total distance (in meters)

Provide the mathematical formulas & calculations to support your answer.

 Jan 22, 2016

Best Answer 

 #3
avatar+33659 
+10

Use Pythagoras theorem to get the distances between each successive point (in squares), then add them together and multiply the result by 60 to get the total distance in meters.

 

So, the distance between (0,0) and (-7,6) is sqrt((-7-0)^2 + (6-0)^2) = sqrt(49 + 36) = sqrt(85) ≈ 9.219

 

The distanve between (-7, 6) and (-2, 14) is sqrt((-2--7)^2 + (14-6)^2) = sqrt(5^2 + 8^2) = sqrt(25+64) = sqrt(89) ≈ 9.434

 

etc.  Can you take it from here?

 Jan 22, 2016
 #1
avatar+8581 
0

Did you draw it out??

 Jan 22, 2016
 #2
avatar+87 
0

Yes, but, Im stuck

 Jan 22, 2016
 #3
avatar+33659 
+10
Best Answer

Use Pythagoras theorem to get the distances between each successive point (in squares), then add them together and multiply the result by 60 to get the total distance in meters.

 

So, the distance between (0,0) and (-7,6) is sqrt((-7-0)^2 + (6-0)^2) = sqrt(49 + 36) = sqrt(85) ≈ 9.219

 

The distanve between (-7, 6) and (-2, 14) is sqrt((-2--7)^2 + (14-6)^2) = sqrt(5^2 + 8^2) = sqrt(25+64) = sqrt(89) ≈ 9.434

 

etc.  Can you take it from here?

Alan Jan 22, 2016

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