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A walks for 4m from point X in the East direction. He then takes a right and a left turn and walked for 3 m and 2 m respectively and finally reaches point Z. B starts walking from point Y and walks for 8 m in East direction, he then takes three consecutive right turns and walks 10 m, 2 m and 3 m respectively and reaches Z. What is shortest distance between point X and point Y?

Question

A walks for 4m from point X in the East direction. He then takes a right and a left turn and walked for 3 m and 2 m respectively and finally reaches point Z. B starts walking from point Y and walks for 8 m in East direction, he then takes three consecutive right turns and walks 10 m, 2 m and 3 m respectively and reaches Z. What is shortest distance between point X and point Y?

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Solution

The problem can be solved by visualizing the paths of A and B on a grid.

Step 1: Draw a grid and mark point X. From point X, draw a line 4 units to the right (East).

Step 2: From the end of this line, draw a line 3 units downwards (South) to represent the right turn.

Step 3: From the end of this line, draw a line 2 units to the left (West) to represent the left turn. This is point Z.

Step 4: Now, mark point Y on the grid. From point Y, draw a line 8 units to the right (East).

Step 5: From the end of this line, draw a line 10 units downwards (South) to represent the first right turn.

Step 6: From the end of this line, draw a line 2 units to the left (West) to represent the second right turn.

Step 7: From the end of this line, draw a line 3 units upwards (North) to represent the third right turn. This should also end at point Z.

Step 8: Now, to find the shortest distance between X and Y, draw a straight line between these two points.

Step 9: The length of this line is the shortest distance between X and Y.

However, based on the information given in the problem, it's not possible to determine the exact numerical distance between X and Y without additional information or assumptions. For example, if we assume that the grid is a standard Cartesian grid with each unit representing 1 meter, then we could calculate the distance using the Pythagorean theorem. But without such assumptions, we can't provide a numerical answer.

This problem has been solved

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