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Find the areas of the following figures by counting square:
"
To do:
We have to find the areas of the given figures by counting squares.
Solution:
(a) The number of fully filled squares in the given figure is 9 squares
Therefore,
The area of the given figure is $9$ square units.
(b) The number of fully filled squares in the given figure is 5 squares
Therefore,
The area of the given figure is $5$ square units.
(c) The number of fully filled squares in the given figure is 2 squares and there are 4 half-filled squares also,
Therefore,
The area of the given figure $=2+4\times\frac{1}{2}$
$=2+2$
$=4$ square units.
(d) The number of fully filled squares in the given figure is 8 squares
Therefore,
The area of the given figure is $8$ square units.
(e) The number of fully filled squares in the given figure is 10 squares
Therefore,
The area of the given figure is $10$ square units.
(f) The number of fully filled squares in the given figure is 2 squares and there are 4 half-filled squares also,
Therefore,
The area of the given figure $=2+4\times\frac{1}{2}$
$=2+2$
$=4$ square units.
(g) The number of fully filled squares in the given figure is 4 squares and there are 4 half filled squares also,
Therefore,
The area of the given figure $=4+4\times\frac{1}{2}$
$=4+2$
$=6$ square units.
(h) The number of fully filled squares in the given figure is 5 squares
Therefore,
The area of the given figure is $5$ square units.
(i) The number of fully filled squares in the given figure is 9 squares
Therefore,
The area of the given figure is $9$ square units.
(j) The number of fully filled squares in the given figure is 2 squares and there are 4 half-filled squares also,
Therefore,
The area of the given figure $=2+4\times\frac{1}{2}$
$=2+2$
$=4$ square units.
(k) The number of fully filled squares in the given figure is 2 squares and there are 4 half-filled squares also,
Therefore,
The area of the given figure $=4+2\times\frac{1}{2}$
$=4+1$
$=5$ square units.
(l) From the given figure, we observe,
| Covered Area | Number | Area (square units) |
| Fully filled squares | 2 | 2 |
| Half filled squares | 0 | 0 |
| More than half-filled squares | 6 | 6 |
| Less than half-filled squares | 6 | 0 |
Therefore,
The total area covered by squares $ =2+6$
$ = 8$ square units.
(m) From the given figure, we observe,
| Covered Area | Number | Area (square units) |
| Fully filled squares | 5 | 5 |
| Half filled squares | 0 | 0 |
| More than half-filled squares | 9 | 9 |
| Less than half-filled squares | 12 | 0 |
Therefore,
The total area covered by squares $ =5+9$
$ = 14$ square units.
(n) From the given figure, we observe,
| Covered Area | Number | Area (square units) |
| Fully filled squares | 8 | 8 |
| Half filled squares | 0 | 0 |
| More than half-filled squares | 10 | 10 |
| Less than half-filled squares | 9 | 0 |
Therefore,
The total area covered by squares $ =8+10$
$ = 18$ square units.
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