These NCERT Solutions for Class 6 Maths Chapter 10 Mensuration Ex 10.2 Questions and Answers are prepared by our highly skilled subject experts.
NCERT Solutions for Class 6 Maths Chapter 10 Mensuration Exercise 10.2
Question 1.
Find the areas of the following figures by counting square:
Answer:
(a) Number of filled square = 9
∴ Area covered by squares = 9 × 1 = 9 sq. units
(b) Number of filled squares = 5
∴ Area covered by filled squares = 5 × 1 = 5 sq. units
(c) Number of full filled squares = 2
Number of half-filled squares = 4
∴ Area covered by full filled squares = 2 × 1 = 2 sq. units
And Area covered by half-filled squares = 4 × \(\frac { 1 }{ 2 }\) = 2 sq. units
∴ Total area = 2 + 2 = 4 sq. units
(d) Number of filled squares = 8
∴ Area covered by filled squares = 8 × 1 = 8 sq. units
(e) Number of filled squares = 10
∴ Area covered by filled squares = 10 × 1 = 10 sq. units
(f) Number of full filled squares = 2
Number of half-filled squares = 4
∴ Area covered by full filled squares = 2 × 1 = 2 sq. units
And Area covered by half-filled squares = 4 × \(\frac { 1 }{ 2 }\) = 2 sq. units
∴ Total area = 2 + 2 = 4 sq. units
(g) Number of full filled squares = 4
Number of half-filled squares = 4
∴ Area covered by full filled squares = 4 × 1 = 4 sq. units
And Area covered by half-fille squares = 4 × \(\frac { 1 }{ 2 }\) = 2 sq. units
∴ Total area = 4 + 2 = 6 sq. units
(h) Number of filled squares = 5
∴ Area covered by filled squares = 5 × 1 = 5 sq. units
(i) Number of filled squares = 9
∴ Area covered by filled squares = 9 × 1 = 9 sq. units
(j) Number of full filled squares = 2
Number of half-filled squares = 4
∴ Area covered by full filled squares = 2 × 1 = 2 sq. units
And Area covered by half-fille squares = 4 × \(\frac { 1 }{ 2 }\) = 2 sq. units
∴ Total area = 2 + 2 = 4 sq. units
(k) Number of full filled squares = 4
Number of half-filled squares = 2
∴ Area covered by full filled squares = 4 × 1 = 4 sq. units
And Area covered by half-filled squares = 2 × \(\frac { 1 }{ 2 }\) = 1 sq. units
∴ Total area = 4 + 1 = 5 sq. units
(l) Number of full filled squares = 3
Number of half-filled squares = 10
∴ Area covered by full filled squares = 3 × 1 = 3 sq. units
And Area covered by half-filled squares = 10 × \(\frac { 1 }{ 2 }\) = 5 sq. units
∴ Total area = 3 + 5 = 8 sq. units
(m) Number of full filled squares = 7
Number of half-filled squares = 14
∴ Area covered by full filled squares = 7 × 1 = 7 sq. units
And Area covered by half-filled squares = 14 × \(\frac { 1 }{ 2 }\) = 7 sq. units
∴ Total area = 7 + 7 = 14 sq. units
(n) Number of full filled squares = 10 Number of half-filled squares = 16
∴ Area covered by full filled squares = 10 × 1 = 10 sq. units
And Area covered by half-filled squares = 16 × \(\frac { 1 }{ 2 }\) = 8 sq. units
∴ Total area = 10 + 8 = 18 sq. units