Question 1:
Find the areas of the following figures by counting square:
(a) |
(b) |
(c) |
(d) |
(e) |
(f) |
(g) |
(h) |
(i) |
(j) |
(k) |
(l) |
(m) |
(n) |
Answer:
(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 5 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 5 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 = 2 + 6 = 8 square units
(m) From the given figure, it can be observed that,
Covered Area |
Number |
Area estimate (sq units) |
Fully filled squares |
5 |
5 |
Half-filled squares |
− |
− |
More than half-filled squares |
9 |
9 |
Less than half-filled squares |
12 |
0 |
Total area = 5 + 9 = 14 square units
(n) From the given figure, it can be 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 = 8 + 10 = 18 square units