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