Find the areas of the following figures by counting square:
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AcademicMathematicsNCERTClass 6

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 22
Half filled squares 00
More than half-filled squares 66
Less than half-filled squares 60

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 55
Half filled squares 00
More than half-filled squares 99
Less than half-filled squares 120

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 88
Half filled squares 00
More than half-filled squares 1010
Less than half-filled squares 90

Therefore,

The total area covered by squares $ =8+10$

$ = 18$ square units.

raja
Updated on 10-Oct-2022 13:36:28

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