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What is the path length of the following path?
A (0, 0) to B (5, 0) to C (5, 5) to D (0, 5)
A (0, 0) to B (5, 0) to C (5, 5) to D (0, 5)
- a)20 units
- b)25 units
- c)15 units
- d)10 units
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
What is the path length of the following path?A (0, 0) to B (5, 0) to ...
Total path length = Sum of path lengths of intermediate paths. Therefore, Path length AD = Sum of Path lengths of AB, BC, CD = 5 + 5 + 5 = 15 units.
Most Upvoted Answer
What is the path length of the following path?A (0, 0) to B (5, 0) to ...
Path Length Calculation:
To calculate the path length of the given path from point A to point D passing through points B and C, we can use the distance formula to find the distance between each pair of consecutive points.
Distance between A and B:
Using the distance formula,
Distance between A(0, 0) and B(5, 0) = √((5-0)^2 + (0-0)^2)
= √(5^2 + 0^2)
= √25
= 5 units
Distance between B and C:
Distance between B(5, 0) and C(5, 5) = √((5-5)^2 + (5-0)^2)
= √(0^2 + 5^2)
= √25
= 5 units
Distance between C and D:
Distance between C(5, 5) and D(0, 5) = √((0-5)^2 + (5-5)^2)
= √((-5)^2 + 0^2)
= √25
= 5 units
Total Path Length:
Adding the distances of each segment:
5 units + 5 units + 5 units = 15 units
Therefore, the path length of the given path from point A to point D passing through points B and C is 15 units. Hence, the correct answer is option 'c'.
To calculate the path length of the given path from point A to point D passing through points B and C, we can use the distance formula to find the distance between each pair of consecutive points.
Distance between A and B:
Using the distance formula,
Distance between A(0, 0) and B(5, 0) = √((5-0)^2 + (0-0)^2)
= √(5^2 + 0^2)
= √25
= 5 units
Distance between B and C:
Distance between B(5, 0) and C(5, 5) = √((5-5)^2 + (5-0)^2)
= √(0^2 + 5^2)
= √25
= 5 units
Distance between C and D:
Distance between C(5, 5) and D(0, 5) = √((0-5)^2 + (5-5)^2)
= √((-5)^2 + 0^2)
= √25
= 5 units
Total Path Length:
Adding the distances of each segment:
5 units + 5 units + 5 units = 15 units
Therefore, the path length of the given path from point A to point D passing through points B and C is 15 units. Hence, the correct answer is option 'c'.
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What is the path length of the following path?A (0, 0) to B (5, 0) to C (5, 5) to D (0, 5)a)20 unitsb)25 unitsc)15 unitsd)10 unitsCorrect answer is option 'C'. Can you explain this answer?
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