Select the correct answerP is 9 m to the south of K. K is 5 m to the east od H. H is 4 m to the north of B L is 3m west of B. D is 7 m south of L. G is 8m east of D.How far and in which direction is point K from point G?Options7m to the south11m to the west11m to the south11m to the north

To solve this problem, we need to visualize the points on a grid.

1. Start with point K. P is 9m to the south of K, so draw a line down from K and mark P 9m below.

2. K is 5m to the east of H, so draw a line to the left of K and mark H 5m to the left.

3. H is 4m to the north of B, so draw a line down from H and mark B 4m below.

4. L is 3m west of B, so draw a line to the right of B and mark L 3m to the right.

5. D is 7m south of L, so draw a line down from L and mark D 7m below.

6. G is 8m east of D, so draw a line to the left of D and mark G 8m to the left.

Now, to find the distance and direction from K to G, we need to calculate the horizontal and vertical distances.

The horizontal distance from K to G is the distance from K to H (5m) plus the distance from H to B (4m) plus the distance from B to L (3m) plus the distance from L to D (7m) plus the distance from D to G (8m). This gives a total horizontal distance of 27m.

The vertical distance from K to G is the distance from K to P (9m).

Using the Pythagorean theorem, the direct distance from K to G is sqrt((27m)^2 + (9m)^2) = sqrt(729 + 81) = sqrt(810) = 28.46m (approx).

The direction from K to G is south-west.

However, none of the options match this result. There might be a mistake in the problem or the options provided.