Question:hard

Five geometric blocks with their dimensions are given below. Calculate the length of the path as shown in the image below, between points A and B.

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Always look for symmetry and alignment in isometric 3D geometry questions. Identifying that the path lies entirely on a single flat 2D plane simplifies the calculations tremendously.
Updated On: Jun 25, 2026
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Correct Answer: 6.07

Solution and Explanation

Step 1: Decompose the path.
The belt-like path wraps the five blocks, so split it into straight segments along the block edges plus quarter-arc segments turning each corner.
Step 2: Sum the parts.
Add all vertical and horizontal straight lengths, then add the corner arcs (each a quarter circle of the relevant radius), giving the total length from $A$ to $B$.
\[ \boxed{\text{Total} = \sum(\text{straight segments}) + \sum(\text{corner arcs})} \]
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