Find the total number of squares in the given figure.
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → 14
The figure is a grid of 5 × 2 small squares. A square of side \(k\) small squares can start at \(6-k\) places across and \(3-k\) places down.
1 × 1 squares: \(5\times2=10\)
2 × 2 squares: \(4\times1=4\)
Total \(=10+4=14\) squares.
Why the other options are incorrect
Option (1) 5 — Incorrect. This uses the count for a square grid of 2 × 2, but the grid is 5 × 2.
Option (2) 55 — Incorrect. This uses the count for a square grid of 5 × 5, but the grid is 5 × 2.
Option (3) 45 — Incorrect. This is the number of all rectangles in the grid; most of them are not squares.