Question:

The given heart shape (top) is made of different parts put together. Which of the shapes in the options can be constructed using all the parts of the given heart shape? 

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Reduce each target to “semicircles + rectangles/triangles”. If a target calls for a full circle or extra tabs that exceed the piece inventory, it cannot be built.
Updated On: Aug 28, 2025
  • A
  • B
  • C
  • D
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The Correct Option is B, C

Solution and Explanation

Step 1: Inventory of pieces.
The heart decomposes into two equal semicircular lobes at the base and a pointed top assembled from straight–edged polygons; interior chords subdivide into rectangles/triangles that can rejoin as a rectangle strip.
Step 2: Feasibility checks.
(B) The capsule (stadium) uses two equal semicircles plus a central rectangle—exactly matchable by the two lobes and the straight pieces.
(C) The “cup with rounded rim” again uses one semicircle and straight strips on three sides, while the second semicircle and remaining strips complete the vertical cap—possible with all given parts.
(A) Requires four orthogonal protrusions simultaneously; the heart’s inventory cannot supply those four identical tabs without breaking semicircle equality.
(D) Needs a full circle atop a narrow bar; the heart only provides two semicircles, not a complete disk, so it is impossible without gaps.
Therefore the constructible options are (B) and (C).
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