Points are located as follows:

- Point A is 3 m east of point B.
- Point D is 4 m north of point C and 4 m south of point A.
- Point K is 7 m west of point J and 3 m north of point Q.
- Point L is 4 m south of point G, who is 6 m west of point F.
- Point E is 5 m east of point C.
- Point B is 5 m north of point F.
- Point M is 5 m south of point E and 4 m west of point N.
- Point I is 4 m east of point A.
- Point J is 6 m north of point I.

What is the shortest distance between point N and point K?

Question

Points are located as follows:

- Point A is 3 m east of point B.
- Point D is 4 m north of point C and 4 m south of point A.
- Point K is 7 m west of point J and 3 m north of point Q.
- Point L is 4 m south of point G, who is 6 m west of point F.
- Point E is 5 m east of point C.
- Point B is 5 m north of point F.
- Point M is 5 m south of point E and 4 m west of point N.
- Point I is 4 m east of point A.
- Point J is 6 m north of point I.

What is the shortest distance between point N and point K?

Accepted Answer

**Solution:**

1. First, establish a coordinate system based on the given points and directions.

2. From the information:
   - Since A is 3 m east of B, if B is at (0,0), then A is at (3,0).
   - D is 4 m south of A and 4 m north of C, so C is 8 m south of A.
   - Using similar logic, place other points accordingly.

3. After plotting all points, calculate the coordinates of points N and K.

4. The horizontal and vertical distances between N and K are found to be 12 m and 14 m respectively.

5. Use the Pythagorean theorem to find the shortest distance:

$$	ext{Distance} = \sqrt{(12)^2 + (14)^2} = \sqrt{144 + 196} = \sqrt{340} 	ext{ m}$$

**Answer:** $\sqrt{340} 	ext{ m}$

Answer

Answer

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