Question

J, K, L, M, N, O, P and R are eight huts. Further, L is 2 km east of K. J is 1 km north of K and Q is 2 km south of J. P is 1 km west of Q while M is 3 km east of P. O is 2 km north of P. R is situated right in the middle of K and L while N is just in the middle of Q and M. Determine the distance between K and P :

• A. 1.00 km
• B. 1.50 km
• C. 1.41 km
• D. 1.67 km
• E. 1.23 km

Hint:

For map-based distance problems, assign coordinates with a known point as origin. Use the distance formula $d = \sqrt{(\Delta x)^2 + (\Delta y)^2}$ for the final answer.

Answer 1

The Correct Option is C

Step 1: Understanding the Concept:
Map/coordinate geometry problem. Assign coordinates to each hut.

Step 2: Detailed Explanation:
Let K = (0, 0). L = (2, 0) (2 km east). J = (0, 1) (1 km north of K). Q = (0, $-1$) (2 km south of J = J's y $-$ 2 = $1-2=-1$). P = ($-1$, $-1$) (1 km west of Q). Distance KP $= \sqrt{(-1-0)^2 + (-1-0)^2} = \sqrt{1+1} = \sqrt{2} \approx 1.414 \approx 1.41$ km.

Step 3: Final Answer:
The distance between K and P is 1.41 km.