Maya: T→U 4 ft, left to W 4 ft, right to P 3 ft, right to Q 1 ft, left to V 1 ft, right to R 3 ft. What is the straight distance TR?

Introduction / Context:We interpret each leg on a square grid with 90° turns and track coordinates from the starting point T to the final point R, then compute the straight-line distance TR.

Given Data / Assumptions:

• T→U: 4 ft in some straight direction (assume East for coordinate convenience—only relative turns matter).
• Then: left 4 ft, right 3 ft, right 1 ft, left 1 ft, right 3 ft, with the specified order.

Concept / Approach:Represent positions and apply left/right relative to the current facing at each step. Distance is |Δx| if y returns to 0, else use Pythagoras.

Step-by-Step Solution:Start T (0,0), face East.U: (4,0).Left (North) 4 → W: (4,4).Right (East) 3 → P: (7,4).Right (South) 1 → Q: (7,3).Left (East) 1 → V: (8,3).Right (South) 3 → R: (8,0).Distance TR = sqrt((8−0)^2 + (0−0)^2) = 8 ft.

Verification / Alternative check:Sketching the path shows all vertical shifts cancel to y = 0 at the end; only the net +8 in x remains.

Why Other Options Are Wrong:4/5/7 ft do not match the computed coordinate difference.

Common Pitfalls:Applying left/right relative to North instead of current heading; mixing up one-foot leg directions.

Final Answer:8 Ft.