MP Board Class 6th Maths Solutions Chapter 10 Mensuration Ex 10.2

MP Board Class 6th Maths Solutions Chapter 10 Mensuration Ex 10.2

Question 1.
Find the areas of the following figures by counting square:
MP Board Class 6th Maths Solutions Chapter 10 Mensuration Ex 10.2 1
Solution:
(a) Number of filled squares = 9
∴ Area covered by filled squares
= (9 × 1) sq units = 9 sq units

(b) Number of filled squares = 5
∴ Area covered by filled squares
= (5 × 1) sq units = 5 sq units

(c) Number of fully-filled squares = 2
Number of half-filled squares = 4
∴ Area covered by fully-filled squares
= (2 × 1) sq units = 2 sq units
Area covered by half-filled squares
= (4 × \(\frac{1}{2}\)) sq units = 2 sq units
∴ Total area = (2 + 2) sq units = 4 sq units

(d) Number of filled squares = 8
∴ Area covered by filled squares
= (8 × 1) sq units = 8 sq units

MP Board Class 6th Maths Solutions Chapter 10 Mensuration Ex 10.2

(e) Number of filled squares = 10
∴ Area covered by filled squares
= (10 × 1) sq units = 10 sq units

(f) Number of fully-filled squares = 2
Number of half-filled squares = 4
∴ Area covered by fully-filled squares
= (2 × 1) sq units = 2 sq units
Area covered by half-filled squares
= (4 × \(\frac{1}{2}\)) sq units = 2 sq units
∴ Total area = (2 + 2) sq units = 4 sq units

(g) Number of fully-filled squares = 4
Number of half-filled squares = 4
∴ Area covered by fully-filled squares
= (4 × 1) sq units = 4 sq units
Area covered by half-filled squares
= (4 × \(\frac{1}{2}\)) sq units = 2 sq units
∴ Total area = (4 + 2) sq units = 6 sq units

(h) Number of filled squares = 5 .
∴ Area covered by filled squares
= (5 × 1) sq units = 5 sq units

(i) Number of filled squares = 9
∴ Area covered by filled squares
= (9 × 1) sq units = 9 sq units

(j) Number of fully-filled squares = 2
Number of half-filled squares = 4
∴ Area covered by fully-filled squares
= (2 × 1) sq units = 2 sq units
Area covered by half-filled squares
= (4 × \(\frac{1}{2}\)) sq units = 2 sq units
∴ Total area = (2 + 2) sq units = 4 sq units

MP Board Class 6th Maths Solutions Chapter 10 Mensuration Ex 10.2

(k) Number of fully-filled squares = 4
Number of half-filled squares = 2
∴ Area covered by fully-filled squares
= (4 × 1) sq units = 4 sq units
Area covered by half-filled squares
= (2 × \(\frac{1}{2}\)) sq units = 1 sq units
∴ Total area = (4 + 1) sq units = 5 sq units

(l) Number of fully-filled squares = 3,
Number of half-filled squares = 2,
Number of more than half-filled squares = 4
and number of less than half-filled squares = 4.
Now, estimated area covered by
fully-filled squares = 3 sq units,
half-filled squares = (2 × \(\frac{1}{2}\)) sq units
= 1 sq unit,
more than half-filled squares = 4 sq units
and less than half-filled squares
= 0 sq unit
∴ Total area = (3 + 1 + 4 + 0) sq units
= 8 sq units.

MP Board Class 6th Maths Solutions Chapter 10 Mensuration Ex 10.2

(m) Number of fully-filled squares = 7,
Number of more than half-filled squares = 7
and number of less than half-filled squares = 5
Estimated area covered by
fully-filled squares = 7 sq units,
more than half-filled squares = 7 sq units
and less than half-filled squares = 0 sq unit
∴ Total area = (7 + 7 + 0) sq units = 14 sq units

(n) Number of fully-filled squares = 10,
Number of more than half-filled squares = 8
and number of less than half-filled squares = 5
Estimated area covered by
fully-filled squares = 10 sq units,
more than half-filled squares = 8 sq units
less than half-filled squares = 0 sq unit
∴ Total area = (10 + 8 + 0) sq units
= 18 sq units.

MP Board Class 6th Maths Solutions