Q.1 Find the areas of the following figures by counting square:


Answer :

(a) Number of full squares = 9
Area of 1 square = 1 sq unit
\(\therefore \)Area of 9 squares = 9 x 1 sq unit
= 9 sq units.
So, the area of the portion covered by 9 squares = 9 sq units
(b) Number of full squares = 5
\(\therefore \) Area of the figure = 5 x 1 sq unit = 5 sq units
(c) Number of full squares = 2
Number of half squares = 4
\(\therefore \) Area of the covered figure
= 2 x 1 + 4 x \(\frac{1}{2} \) = 2 + 2 = 4 sq units
(d) Number of full squares = 8
\(\therefore \) Area of the covered portion of the figure
= 8 x 1 sq unit = 8 sq units.

(e) Number of full squares = 10
Area covered by the figure = 10 x 1 sq unit = 10 sq units.
(f) Number of full squares = 2
Number of half squares = 4
\(\therefore \) Area of the covered figure
= (2 x 1 + 4 x \(\frac{1}{2} \))= (2 + 2) sq units = 4 sq units.
(g) Number of full squares = 4
Number of half squares = 4
\(\therefore \) Area of the covered figure = (4 x 1 + 4 x 12)
= (4 + 2) sq units = 6 sq units.

(h) Number of full squares = 5
\(\therefore \) Area of the covered figure
= 5 x 1 sq unit = 5 sq units.

(i) Number of full squares = 9
\(\therefore \) Area of the covered figure
= 9 x 1 sq units = 9 sq units.

(j) Number of full squares = 2
Number of half squares = 4
\(\therefore \) Area of the covered figure
=(2 x 1 + 4 x \(\frac{1}{2} \)) sq units
= (2 + 2) sq units = 4 sq units.
(k) Number of full squares = 4
Number of half squares = 2
\(\therefore \) Area of the covered figure
= (4 x 1 + 2 x \(\frac{1}{2} \))sq units
= (4 + 1)sq units = 5sq units

(l) Number of full squares = 4
Number of squares more than half = 3
Number of half squares = 2
\(\therefore \) Area of the covered figure
= (4 x 1 + 3 x 1 + 2 x \(\frac{1}{2} \) sq units
= (4 + 3 + 1) sq units = 8 sq units.

(m) Number of full squares = 6
Number of more than half squares = 8
Area of the covered figure = (6 x 1 + 8 x 1) sq units
= (6 + 8) sq units = 14 sq units.
(n) Number of full squares = 9
Number of more than half squares = 9
\(\therefore \) Area of the covered figure
= (9 x 1 + 9 x 1) sq units = (9 + 9) sq units = 18 sq units.

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