Question 3 of 16intermediate🔍 AnalyzeShort Answer2 marks

Can five squares fit together around a point without any gaps or overlaps? Why or why not?

Correct Answer

No, five squares cannot fit together around a point without gaps or overlaps.

Given: Each square has a corner angle of 90°.

Calculation: 5×905 \times 90° = 450°

Comparison: 450° > 360°

∴ Five squares cannot fit together around a point because the total angle exceeds 360°, which would cause overlaps.

Exercise: Find Out | Q: 6 | (Page Page 3)
For More Understanding

Explanation

The chapter establishes that for shapes to tessellate around a point, their angles must sum to exactly 360°. Five squares would need 450° (5×905 \times 90°), which is more than 360°, making it impossible to fit without overlapping.

Solution Steps

  1. Identify that each square has a corner angle of 90°.

  2. Calculate the total angle for five squares: 5×905 \times 90° = 450°.

  3. Compare the total angle to 360° (full circle around a point).

  4. Conclude that 450° > 360°, so five squares cannot fit without overlaps.

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