Ncert solutions

Ncert solutions

Grade 6

Mensuration | Exercise 10.2

Question 1

Q1) Find the areas of the following figures by counting squares:

Solution:

(a) Number of filled square = 9

\therefore Area covered by squares = 9 x 1 = 9 sq. units

(b) Number of filled squares = 5

\therefore Area covered by filled squares = 5 x 1 = 5 sq. units

(c) Number of full filled squares = 2

Number of half filled squares = 4

\therefore Area covered by full filled squares = 2 x 1 = 2 sq. units

And Area covered by half filled squares = x = 2 sq. units

\therefore Total area = 2 + 2 = 4 sq. units

(d) Number of filled squares = 8

\therefore Area covered by filled squares = 8 x 1 = 8 sq. units

(e) Number of filled squares = 10

\therefore Area covered by filled squares = 10 x 1 = 10 sq. units

(f) Number of full filled squares = 2

Number of half filled squares = 4

\therefore Area covered by full filled squares = 2 x 1 = 2 sq. units

And Area covered by half filled squares = x = 2 sq. units

\therefore Total area = 2 + 2 = 4 sq. units

(g) Number of full filled squares = 4

Number of half filled squares = 2

\therefore Area covered by full filled squares = 4 x 1 = 4 sq. units

And Area covered by half filled squares = x = 2 sq. units

\therefore Total area = 4 + 2 = 6 sq. units

(h) Number of filled squares = 5

\therefore Area covered by filled squares = 5 x 1 = 5 sq. units

(i) Number of filled squares = 9

\therefore Area covered by filled squares = 9 x 1 = 9 sq. units

(j) Number of full filled squares = 2

Number of half filled squares = 4

\therefore Area covered by full filled squares = 2 x 1 = 2 sq. units

And Area covered by half filled squares = x = 2 sq. units

\therefore Total area = 2 + 2 = 4 sq. units

(k) Number of full filled squares = 4

Number of half filled squares = 2

\therefore Area covered by full filled squares = 4 x 1 = 4 sq. units

And Area covered by half filled squares = x = 1 sq. units

\therefore Total area = 4 + 1 = 5 sq. units

(l) Number of full filled squares = 3

Number of half filled squares = 10

\therefore Area covered by full filled squares = 3 x 1 = 3 sq. units

And Area covered by half filled squares = x = 5 sq. units

\therefore Total area = 3 + 5 = 8 sq. units

(m) Number of full filled squares = 7

Number of half filled squares = 14

\therefore Area covered by full filled squares = 7 x 1 = 7 sq. units

And Area covered by half filled squares = x = 7 sq. units

\therefore Total area = 7 + 7 = 14 sq. units

(n) Number of full filled squares = 10

Number of half filled squares = 16

\therefore Area covered by full filled squares = 10 x 1 = 10 sq. units

And Area covered by half filled squares = x = 8 sq. units

\therefore Total area = 10 + 8 = 18 sq. units .

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subject-cta

Question 1

Q1) Find the areas of the following figures by counting squares:

Solution:

(a) Number of filled square = 9

\therefore Area covered by squares = 9 x 1 = 9 sq. units

(b) Number of filled squares = 5

\therefore Area covered by filled squares = 5 x 1 = 5 sq. units

(c) Number of full filled squares = 2

Number of half filled squares = 4

\therefore Area covered by full filled squares = 2 x 1 = 2 sq. units

And Area covered by half filled squares = x = 2 sq. units

\therefore Total area = 2 + 2 = 4 sq. units

(d) Number of filled squares = 8

\therefore Area covered by filled squares = 8 x 1 = 8 sq. units

(e) Number of filled squares = 10

\therefore Area covered by filled squares = 10 x 1 = 10 sq. units

(f) Number of full filled squares = 2

Number of half filled squares = 4

\therefore Area covered by full filled squares = 2 x 1 = 2 sq. units

And Area covered by half filled squares = x = 2 sq. units

\therefore Total area = 2 + 2 = 4 sq. units

(g) Number of full filled squares = 4

Number of half filled squares = 2

\therefore Area covered by full filled squares = 4 x 1 = 4 sq. units

And Area covered by half filled squares = x = 2 sq. units

\therefore Total area = 4 + 2 = 6 sq. units

(h) Number of filled squares = 5

\therefore Area covered by filled squares = 5 x 1 = 5 sq. units

(i) Number of filled squares = 9

\therefore Area covered by filled squares = 9 x 1 = 9 sq. units

(j) Number of full filled squares = 2

Number of half filled squares = 4

\therefore Area covered by full filled squares = 2 x 1 = 2 sq. units

And Area covered by half filled squares = x = 2 sq. units

\therefore Total area = 2 + 2 = 4 sq. units

(k) Number of full filled squares = 4

Number of half filled squares = 2

\therefore Area covered by full filled squares = 4 x 1 = 4 sq. units

And Area covered by half filled squares = x = 1 sq. units

\therefore Total area = 4 + 1 = 5 sq. units

(l) Number of full filled squares = 3

Number of half filled squares = 10

\therefore Area covered by full filled squares = 3 x 1 = 3 sq. units

And Area covered by half filled squares = x = 5 sq. units

\therefore Total area = 3 + 5 = 8 sq. units

(m) Number of full filled squares = 7

Number of half filled squares = 14

\therefore Area covered by full filled squares = 7 x 1 = 7 sq. units

And Area covered by half filled squares = x = 7 sq. units

\therefore Total area = 7 + 7 = 14 sq. units

(n) Number of full filled squares = 10

Number of half filled squares = 16

\therefore Area covered by full filled squares = 10 x 1 = 10 sq. units

And Area covered by half filled squares = x = 8 sq. units

\therefore Total area = 10 + 8 = 18 sq. units .

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