Question

Find the areas of the following figures by counting square:

Answer 1

(a) Number of filled square = $9$
$\therefore$ Area covered by squares = $9 \times1 = 9$ sq. units

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(b) Number of filled squares = $5$
$\therefore$ Area covered by filled squares = $5 \times 1 = 5$ sq. units

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(c) Number of full filled squares = $2$
Number of half-filled squares = $4$
$\therefore$ Area covered by full filled squares = $2 \times 1 = 2$ sq.
units And Area covered by half-filled squares = $4 \times\frac{1}{ 2}$ =$2$ sq. units
$\therefore$ Total area = $2 + 2 = 4$ sq. units

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(d) Number of filled squares = $8$
$\therefore$ Area covered by filled squares = $8 \times 1 = 8$ sq. units

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(e) Number of filled squares = $10$
$\therefore$ Area covered by filled squares = $10 \times 1 = 10$ sq. units

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(f) Number of full filled squares = $2$
Number of half-filled squares = $4$
$\therefore$ Area covered by full filled squares = $2 \times 1 = 2$ sq. units
And Area covered by half-filled squares = $4 \times \frac{1}{ 2}= 2$ sq. units
$\therefore$ Total area = $2 + 2 = 4$ sq. units

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(g) Number of full filled squares = $4$
Number of half-filled squares = $4$
Area covered by full filled squares = $4 \times 1 = 4$ sq. units
And Area covered by half-filled squares = $4 \times \frac{1}{ 2}$= $2$ sq. units
Total area = $4 + 2 = 6$ sq. units

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(h) Number of filled squares = $5$
$\therefore$ Area covered by filled squares = $5 \times 1 = 5$ sq. units

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(i) Number of filled squares = $9$
$\therefore$ Area covered by filled squares = $9 \times 1 = 9$ sq. units

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(j) Number of full filled squares = $2$
Number of half-filled squares = $4$
$\therefore$ Area covered by full filled squares = $2 \times 1 = 2$ sq. units
And Area covered by half-filled squares = $4 \times \frac{1}{ 2}= 2$ sq. units
$\therefore$ Total area = $2 + 2 = 4$ sq. units

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(k) Number of full filled squares = $4$
Number of half-filled squares = $2$
$\therefore$ Area covered by full filled squares = $4 \times 1 = 4$ sq. units
And Area covered by half-filled squares = $2 \times \frac1 2= 1$ sq. units
$\therefore$ Total area = $4 + 1 = 5$ sq. units

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(l) Number of full filled squares = $3$
Number of half-filled squares = $10$
$\therefore$ Area covered by full filled squares =$3 \times 1$ = 3 sq. units
And Area covered by half-filled squares = $10 \times \frac1 2 = 5$ sq. units
Total area = $3 + 5 = 8$ sq. units

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(m) Number of full filled squares = $7$
Number of half-filled squares = $14$
Area covered by full filled squares = $7 \times 1 = 7$ sq. units
And Area covered by half-filled squares = $14 \times \frac1 2= 7$ sq. units
Total area = $7 + 7 = 14$ sq. units

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(n) Number of full filled squares = $10$
Number of half-filled squares = $16$
$\therefore$ Area covered by full filled squares = $10 \times 1 = 10$ sq. units
And Area covered by half-filled squares = $16 \times \frac1 2= 8$ sq. units
Total area = $10 + 8 = 18$ sq. units