Perimeter of Irregular Shapes Worksheet

**Page 1**

1.

Estimate the area of the shaded region in the following figure.

a. | 185 square units | ||

b. | 205 square units | ||

c. | 145 square units | ||

d. | 200 square units |

Number of squares that are half filled = 8

Total number of squares filled = 37 + (8 ×

Area of the figure = total number of squares filled × area of each square

= 41 × 5 = 205

So, the area of the figure is 205 square units.

Correct answer : (2)

2.

Estimate the area of the shaded region in the figure shown.

a. | 134 square units | ||

b. | 120 square units | ||

c. | 140 square units | ||

d. | 130 square units |

Number of squares that are half filled = 6

Total number of squares filled = 10 + (6 ×

Area of the figure = Total number of squares filled × Area of each square

= 13 × 10 = 130

So, the area of the figure is 130 square units.

Correct answer : (4)

3.

Estimate the area of the shaded region in the figure, if each square is of 3 sq.cm.

a. | 154 sq.cm. | ||

b. | 162 sq.cm. | ||

c. | 136 sq.cm. | ||

d. | 148 sq.cm. |

Number of squares that are half filled = 12

Total number of squares filled = 48 + (12 ×

Area of the figure = total number of squares filled × area of each square

= 54 × 3 = 162

So, the area of the figure is 162 sq.cm.

Correct answer : (2)

4.

Estimate the area of the shaded region of the figure, if each square measures 2 square inches.

a. | 60 square inches | ||

b. | 50 square inches | ||

c. | 70 square inches | ||

d. | 40 square inches |

Number of squares that are half filled = 10

Total number of squares filled = 20 + (10 ×

Area of the figure = total number of squares filled × area of each square

= 25 × 2 = 50

So, the area of the figure is 50 square inches.

Correct answer : (2)

5.

Estimate the area of the shaded region of the following figure.

a. | 100 sq. units | ||

b. | 28 sq. units | ||

c. | 112 sq. units | ||

d. | 120 sq. units |

Area of the figure = total number of squares filled × area of each square

= 28 × 4 = 112

So, the area of the figure is 112 sq. units.

Correct answer : (3)

6.

Estimate the area of the figure if the area of each square is 4 mm^{2}.

a. | 9 mm ^{2} | ||

b. | 18 mm ^{2} | ||

c. | 13 mm ^{2} | ||

d. | 52 mm ^{2} |

Number of squares that are almost filled = 4

Number of squares that are about half filled = 10

Number of squares covering the figure = 4 + 4 + (10 ×

= 4 + 4 + 5 = 13

[Add.]

Area of the figure = Number of squares × Area of each square

= 13 × 4 mm

[Multiply.]

So, the area of the figure is about 52 mm

Correct answer : (4)

7.

About how many square units does the figure occupy, if each square covers an area of 5 square units?

a. | 80 square units | ||

b. | 22 square units | ||

c. | 16 square units | ||

d. | 8 square units |

Number of squares that are almost filled = 2

Number of squares that are about half filled = 12

Number of squares occupied by the figure = 8 + 2 + (12 ×

= 8 + 2 + 6 = 16

[Add.]

Number of square units occupied by the figure = Number of squares occupied by the figure × Area of each square

= 16 × 5 square units = 80

[Multiply.]

So, the figure occupies about 80 square units.

Correct answer : (1)

8.

Estimate the area covered by the figure, if the area of each square is 3 cm^{2}.

a. | 11 cm ^{2} | ||

b. | 36 cm ^{2} | ||

c. | 14 cm ^{2} | ||

d. | 42 cm ^{2} |

Number of squares that are almost filled = 4

Number of squares that are about half filled = 8

Number of squares covered by the figure = 4 + 4 + (8 ×

= 4 + 4 + 4 = 12

[Add.]

Area of the figure = Number of squares × Area of each square

= 12 × 3 cm

[Multiply.]

So, the area covered by the figure is about 36 cm

Correct answer : (2)

9.

Each square in the figure covers an area of 2 in.^{2}. What is the area of the figure shown?

a. | 42 in. ^{2} | ||

b. | 48 in. ^{2} | ||

c. | 24 in. ^{2} | ||

d. | 20 in. ^{2} |

Number of squares that are almost filled = 8

Number of squares that are about half filled = 10

Number of squares occupied by the figure = 8 + 8 + (10 ×

= 8 + 8 + 5 = 21 in.

[Add.]

Area of the figure = Number of squares covered by the figure × Area of each square

= 21 × 2 in.

[Multiply.]

So, the area of the figure shown is about 42 in.

Correct answer : (1)

10.

Calculate the approximate area of the figure if the area of each square is 6 square units.

a. | 270 square units | ||

b. | 45 square units | ||

c. | 260 square units | ||

d. | 288 square units |

Number of squares that are almost filled = 12

Number of squares that are about half filled = 6

Number of squares occupied by the figure = 30 + 12 + (6 ×

= 30 + 12 + 3 = 45

[Add.]

Area of the figure = Number of squares covered by the figure × Area of each square

= 45 × 6 square units = 270 square units

[Multiply.]

So, the area of the figure shown is about 270 square units.

Correct answer : (1)