How many square are there in the figure below? (image and complete questio mention i the explanation portion)
- 17
- 44
- 16
- 15
Explanation
Given:
- 4 concentric squares
- The two innermost squares form a 3×3 grid using two perpendicular lines.
Step 1: Count squares in the 3×3 grid
Using the formula ∑(i²) for square counts:
- 1×1 squares = 3² = 9
- 2×2 squares = 2² = 4
- 3×3 square = 1² = 1
Subtotal (from grid) = 9 + 4 + 1 = 14 squares
Step 2: Count the outer 2 square outlines
These are not part of the inner grid:
- 1 square (second-largest)
- 1 square (outermost)
Subtotal = 2 squares
Final Total:
14 (inner grid) + 2 (outer squares) = 16 squares
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