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.
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?
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?