Q1. Count the squares and find out the area of the following diagrams:
Ans:
(a) The figure contains 9 fully filled squares only. Therefore, the area of this figure will be 9 square units.
(b) The figure contains 5 fully filled squares only. Therefore, the area of this figure will be S square units.
(c) The figure contains 2 fully filled squares and 4 half-filled squares. Therefore, the area of this figure will be 4 square units.
(d) The figure contains 8 fully filled squares only. Therefore, the area of this figure will be 8 square units.
(e) The figure contains 10 fully filled squares only. Therefore, the area of this figure will be 10 square units.
(f) The figure contains 2 fully filled squares and 4 half-filled squares. Therefore, the area of this figure will be 4 square units.
(g) The figure contains 4 fully filled squares and 4 half-filled squares. Therefore, the area of this figure will be 6 square units.
(h) The figure contains 5 fully filled squares only. Therefore, the area of this figure will be S square units.
(I) The figure contains 9 fully filled squares only. Therefore, the area of this figure will be 9 square units.
(j) The figure contains 2 fully filled squares and 4 half-filled squares. Therefore, the area of this figure will be 4 square units.
(k) The figure contains 4 fully filled squares and 2 half-filled squares. Therefore, the area of this figure will be 5 square units.
(l) From the given figure, it can be observed that,
| Covered Area | Number | Area estimate ( sq units ) |
| Fully filled squares | 2 | 2 |
| Half filled squares | – | – |
| More than half filled squares | 6 | 6 |
| Less than half filled squares | 6 | 0 |
Total area = 6 + 2 = 8 sq units.
(m) From the above figure, it is observed that,
| Covered Area | Number | Area estimate ( sq units ) |
| Fully filled squares | 5 | 5 |
| Half filled squares | – | – |
| More than half filled squares | 10 | 10 |
| Less than half filled squares | 9 | 0 |
Total area = 9 + 5 = 14 sq units
(n) From the above figure, it is observed that,
| Covered Area | Number | Area estimate ( sq units ) |
| Fully filled squares | 8 | 8 |
| Half filled squares | – | – |
| More than half filled squares | 10 | 10 |
| Less than half filled squares | 9 | 0 |
Total area = 10 + 8 = 18 sq units.
