AREA OF SHADED SHAPE IN GRID

Find the area of each shaded section. Each block is 1 square unit (u).

Problem 1 :

Solution :

Total number of complete squares = 40

= 40 × 1

Area of compete squares = 40

Total number of half squares = 9

= 9 × 0.5

Area of half squares = 4.5

Area of shaded section = 40 + 4.5

= 45 units²

So, area of shaded shape is 45 units². 

Problem 2 :

Solution :

By observing the figure,

Total number of complete squares = 34

= 34 × 1

Area of complete squares = 34

Total number of half squares = 16

= 16 × 0.5

Are of half squares = 8

Area of shaded section = 34 + 8

= 42 units²

So, area of shaded section is 42 units².

Problem 3 :

Solution :

Total number of complete squares = 8

= 8 × 1

Area of complete squares = 8

Total number of half squares = 4

= 4 × 0.5

Area of half squares = 2

Area of shaded section = 8 + 2

= 10 units²

So, area of shaded section is 10 units².

Problem 4 :

Solution :

Total number of complete squares = 42

= 42 × 1

= 42

Total number of half squares = 14

= 14 × 0.5

= 7

Area of shaded section = 42 + 7

= 49 units²

So, area of shaded section is 49 units².

Problem 5 :

Solution :

Total number of complete squares = 29

= 29 × 1

= 29

Total number of half squares = 12

= 12 × 0.5

= 6

Area of shaded section = 29 + 6

= 35 units²

So, area of shaded section is 35 units².

Problem 6 :

Solution :

Total number of complete squares = 44

= 44 × 1

= 44 units

Total number of half squares = 8

= 8 × 0.5

= 4 units

Area of shaded section = 44 + 4

= 48 units²

So, area of shaded section is 48 units².

Problem 7 :

Solution :

By observing the figure,

Total number of complete squares = 44

= 44 × 1

= 44 units

Total number of half squares = 4

= 4 × 0.5

= 2 units

Area of shaded section = 44 + 2

= 46 units²

So, Area of shaded section is 46 units².

Problem 8 :

Solution :

Total number of complete squares = 21

= 21 × 1

= 21

Total number of half squares = 6

= 6 × 0.5

= 3

Area of shaded section = 21 + 3

= 24 units²

So, area of shaded section is 24 units².