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Worksheets

Perimeter and Area of Irregular shapes

Total questions: 105

Worksheet time: 4hrs 7mins

Name
Class
Date
1.

What is the volume of this rectangular prism?

(a)  

2.

What is the volume of this prism?

a)

32 in3

b)

48 in3

c)

344 in3

d)

384 in3

3.

What is the volume of this prism?

(a)  

4.

What is the volume?

a)

32 cubic units

b)

28 cubic units

c)

38 cubic units

d)

16 cubic units

5.

What is the volume in cubic units?

(a)  

6.

What is the formula for finding the volume of a rectangular prism?

a)

l + w

b)

l x w

c)

l + w + h

d)

l x w x h

7.

How would you classify this triangle?

a)

acute equilateral

b)

acute isosceles

c)

obtuse scalene

d)

obtuse isosceles

8.

What type of angle does this triangle have?

(a)  

9.

What is this solid shape called?

a)

cylinder

b)

sphere

c)

circle

d)

cone

10.

What is this solid image called?

a)

pyramid

b)

rectangular prism

c)

triangular prism

d)

cylinder

11.

What is the name of this plane shape?

a)

heptagon

b)

octagon

c)

nonagon

d)

decagon

12.

Is this hexagon regular or irregular?

(a)  

13.
What is a polygon?
a)
A closed plane figure made up of line segments
b)
An open plane figure made up of line segments
c)
A closed plane figure made up of rays
d)
An open plane figure made up of rays
14.

This polygon is classified as ....

a)

a hexagon

b)

a heptagon

c)

an octogon

d)

a nonagon

15.
Polygon or non-polygon?
a)
Polygon
b)
Non-Polygon
16.
Polygon or Non-Polygon?
a)
Polygon
b)
Non-Polygon
17.
Polygon or Non-Polygon?
a)
Polygon
b)
Non-Polygon
18.
Regular or irregular polygon?
a)
Regular Polygon
b)
Irregular Polygon
19.
Name of this quadrilateral?
a)
Paralellogram
b)
trapezoid
c)
rhombus
d)
rectangle
20.
A polygon with four sides is a _____.
a)
quadrilateral
b)
hexagon
c)
triangle
d)
pentagon
21.

A _____ is a quadrilateral with two pairs of parallel sides.

a)

parallelogram

b)

trapezoid

c)

triangle

d)

diamond

22.

Heptagon is a polygon with

a)

4 angles

b)

8 angles

c)

7 angles

d)

2 angles

23.

An irregular polygon is:

a)

A polygon with different sides and different angles.

b)

A polygon with congruent Vertex

c)

A polygon with congruent sides and congruent angles

d)

Is not a Polygon

24.

The name of this polygon is

a)

Heptagon

b)

octagon

c)

Hexagon

d)

Nonagon

25.
What is the SUM of the angle measures in a triangle (3 sides)?
a)
60°
b)
90°
c)
120°
d)
180°
26.

Polygons are

a)

closed shapes

b)

multi-sided

c)

2D flat shapes

d)

All these answers

27.

What is the area of a room with a perimeter of 24cm and a length of 8cm?

a)

40cm²

b)

64cm²

c)

16cm²

d)

32cm²

28.

What is the perimeter of a square with an area of 169m2?

a)

52m

b)

40m

c)

100m

d)

25m

29.

Two shapes, a rectangle and a square, are in a race to find the missing side! The square has a side length of 8cm, while the rectangle has a length of 16cm. What is the breadth of the rectangle?

a)

12cm

b)

6cm

c)

10cm

d)

4cm

30.

What is the area of a trapezium with the parallel sides measuring 12cm and 13cm, and the distance between them being 10cm?

a)

50 cm²

b)

75 cm²

c)

100 cm²

d)

125 cm²

31.

What is the baseline of a triangle with an area of 52m^2 and a height of 8m?

a)

20m

b)

10m

c)

15m

d)

13m

32.

What is the length of a side of an equilateral triangle with a perimeter of 96cm?

a)

40cm

b)

24cm

c)

16cm

d)

32cm

33.

What is the total area of the parallelogram?

a)

13cm^2

b)

20cm^2

c)

42cm^2

d)

36cm^2

34.

What is the radius of a circle with a circumference of 66cm? (π=22/7)

a)

12cm

b)

10 1/2cm

c)

14cm

d)

22cm

35.

What is the total distance around the shape?

a)

60cm

b)

59cm

c)

59⅐cm

d)

60.5cm

36.

What is the area of the shaded region in the given figure?

a)

154cm^2

b)

280cm^2

c)

126cm^2

d)

434cm^2

37.

What is the area of a rectangular door with a semicircular top, having dimensions 140cm by 2m, in m^2? See the diagram.

a)

3.57m^2

b)

0.77m^2

c)

2.8m^2

d)

2.05m^2

38.

What is the diameter of a circle with an area of 314cm2? (π= 3.14)

a)

15cm

b)

30cm

c)

20cm

d)

25cm

39.

What is the area of a circular clock face with a diameter of 21cm? (π=22/7)

a)

346 1/2 cm^2

b)

300 1/2 cm^2

c)

336 1/7 cm^2

d)

446 1/2 cm^2

40.

What is the radius of a circle with an area of 154cm^2?

a)

12.00cm

b)

5.00cm

c)

20.00cm

d)

7.00cm

41.

What is the area of the quadrant of a circle with a radius of 3.5cm? O is the center of the circle.

a)

9.625 cm²

b)

15.5 cm²

c)

6.75 cm²

d)

12.25 cm²

42.

What is the area of a semicircle with a diameter of 20m?

a)

40 m^2

b)

314.16 m^2

c)

10 m^2

d)

157.08 m^2

43.

What is the area of a circle with a radius of 7cm?

a)

49 square cm

b)

21 square cm

c)

154 square cm

d)

35 square cm

44.

What is the total area of the given shape?

a)

20cm^2

b)

38cm^2

c)

14cm^2

d)

80cm^2

45.

What is the longest part of a circle?

a)

Circumference

b)

Diameter

c)

Chord

d)

Arc

e)

Radius

46.

What is the total area of the irregular shape?

a)

42cm2

b)

14cm2

c)

38cm2

d)

80cm2

47.

What is the area of a trapezoid with the parallel sides measuring 15cm and 10cm, and the distance between them being 8cm?

a)

80 cm²

b)

100 cm²

c)

120 cm²

d)

140 cm²

48.

What is the perimeter of a square with an area of 144m2?

a)

48m

b)

36m

c)

24m

d)

60m

49.

What is the area of a regular hexagon with a side length of 6cm?

a)

93 cm²

b)

72 cm²

c)

108 cm²

d)

84 cm²

50.

Find the area of this irregular shape

a)

37 square centimeters

b)

28 square centimeters

c)

38 square centimeters

d)

25 square centimeters

51.

Find the perimeter of the irregular shape

a)

32 centimeters

b)

16 centimeters

c)

28 centimeters

d)

27 centimeters

52.

Find the area of the irregular shape

a)

14 square inches

b)

6 square inches

c)

10 square inches

d)

13 square inches

53.

Find the perimeter of the irregular shape

a)

28 inches

b)

26 inches

c)

11 inches

d)

30 inches

54.

Find the perimeter of the irregular shape

a)

32 centimeters

b)

16 centimeters

c)

28 centimeters

d)

27 centimeters

55.

What is the perimeter of this shape?

a)

35 cm

b)

38 cm

c)

30 cm

d)

39 cm

56.

What is the area of this shape?

a)

28 sq. cm.

b)

20 sq. cm.

c)

48 sq. cm.

d)

38 sq. cm.

57.

What is the perimeter of this shape?

a)

23 cm

b)

20 cm

c)

12 cm

d)

24 cm

58.
a)

27 sq. cm.

b)

28 sq. cm.

c)

24 sq. cm.

d)

35 sq. cm.

59.

What is the perimeter of the shape? (the blue part)

a)

27 cm

b)

13 cm

c)

26 cm

d)

21 cm

60.

What is the area of this shape? (the blue part)

a)

42 sq.cm.

b)

24 sq. cm

c)

26 sq. cm.

d)

36 sq. cm.

61.

1. What is the formula to find the area of a rectangle?

a)

Length - Width

b)

Length + Width

c)

Length / Width

d)

Length x Width

62.

2. Calculate the perimeter of a square with side length 5 cm.

a)

20 cm

b)

10 cm

c)

6 cm

d)

25 cm

63.

3. Find the area of a triangle with base 6 cm and height 8 cm.

a)

30 cm²

b)

14 cm²

c)

10 cm²

d)

24 cm²

64.

4. Determine the perimeter of a circle with radius 4 cm. (Use π = 3.14)

a)

12.56 cm

b)

20.36 cm

c)

25.12 cm

d)

16.28 cm

65.

5. What is the formula to find the area of a circle?

a)

2πr

b)

π/r

c)

r/2

d)

πr^2

66.

6. Calculate the perimeter of a rectangle with length 10 cm and width 4 cm.

a)

28 cm

b)

25 cm

c)

14 cm

d)

40 cm

67.

7. Find the area of a trapezoid with bases 5 cm and 7 cm, and height 9 cm.

a)

20 cm²

b)

12 cm²

c)

48 cm²

d)

35 cm²

68.

8. Determine the perimeter of a regular hexagon with side length 6 cm.

a)

42 cm

b)

24 cm

c)

36 cm

d)

30 cm

69.

9. What is the formula to find the area of a parallelogram?

a)

base divided by height

b)

base minus height

c)

base multiplied by height

d)

base plus height

70.

10. Calculate the perimeter of a triangle with sides 3 cm, 4 cm, and 5 cm.

a)

15 cm

b)

8 cm

c)

10 cm

d)

12 cm

71.

What is the formula for the area of a triangle?

a)

A = 1/2 bh

b)

A = bh

c)

A = s + s + s

72.
What does area mean?
a)
the distance around a shape
b)
half the distance around a shape
c)
the amount of space outside a shape
d)
the amount of space inside a shape
73.
What does perimeter mean?
a)
the amount of space inside a shape
b)
the distance around the shape
c)
the amount of space inside a shape divided by two
d)
half the distance around a shape
74.
What is the formula for area of a circle?
a)

A = π\pi x D

b)

A = 2 π\pi x r

c)

A = π\pi x r2r^2  

d)

A = π\pi x D2D^2   

75.
What is the radius of this circle?
a)
12
b)
6
c)
24
76.
What is the area of this circle?
a)

62.59 cm2cm^2  

b)

113.1 cm2cm^2

c)

19.81 cm2cm^2

d)

28.27 cm2cm^2

77.
Is the red line a radius or diameter of the circle?
a)
Radius
b)
Diameter
78.
The radius of a circle is
a)
The measurement from the center of a circle to an edge of the circle.
b)
The measurement around the circle
c)
The measurement from and edge of the circle to another edge through the center
d)
A line perpendicular to the diameter of the circle
79.
What is the circumference of this circle ?
a)
3.14 cm 
b)
37.68 cm
c)
24 cm
d)
68.4 cm
80.
What is the formula for circumference of a circle given the diameter?
a)

C = π\pi x r

b)

C = 2 π\pi x r

c)

C = π\pi x D

d)

C = π\pi x 2D

81.

How do you calculate the perimeter of a shape?

a)

Add all the sides together

b)

Multiply the length by the width

c)

Add the length and width together

d)

None of these options

82.

What is the perimeter of this shape?

a)

19 mm

b)

17 mm

c)

18 mm

d)

16 mm

83.

What is the missing length if the perimeter is 30 cm?

a)

12 cm

b)

13 cm

c)

30 cm

d)

5 cm

84.

What is the perimeter of this shape?

a)

33 cm

b)

23 cm

c)

36 cm

d)

40 cm

85.
What is the perimeter of this shape?
a)
30cm
b)
32cm
c)
60cm
d)
20cm
86.
Find the AREA of this figure.
a)
160 square feet
b)
52 feet
c)
26 square feet
d)
1600 square feet
87.
Find the PERIMETER of this figure.
a)
26 ft
b)
52 feet
c)
26 square feet
d)
160 feet
88.
Find the perimeter of this triangle.
a)
240 ft
b)
56 ft
c)
66 ft
d)
120 ft
89.
Find the area of this triangle.
a)
150 ft2
b)
100 ft2
c)
50 ft2
d)
35 ft2
90.
What is the circumference of this circle ?
a)
3.14 cm 
b)
37.68 cm
c)
24 cm
d)
68.4 cm
91.
What is the area of the composite figure?
a)
48 cm2
b)
90 cm2
c)
78 cm2
d)
12 cm2
92.
What is the area?
a)
108 cm sq
b)
60 cm
c)
432 cm sq
d)
216 cm sq
93.
Find the area of the rectangle.
a)
36 in.2
b)
72 in.2
c)
26 in.2
d)
13 in.2
94.

A rectangle is 4m long and 3m wide. What is the area?

a)

7m2

b)

12m2

c)

14m2

d)

14m

95.

What is the area of this irregular shape?

a)

10

b)

16

c)

8

d)

12

96.
a)

7 mm

b)

9 mm

c)

12 mm

d)

16 mm

97.
What does area mean?
a)
the distance around a shape
b)
half the distance around a shape
c)
the amount of space outside a shape
d)
the amount of space inside a shape
98.
What does perimeter mean?
a)
the amount of space inside a shape
b)
the distance around the shape
c)
the amount of space inside a shape divided by two
d)
half the distance around a shape
99.
Do you multiply or add when you find the perimeter?
a)
Multiply
b)
Add
100.
What is the formula for area of a circle?
a)

A = π\pi x D

b)

A = 2 π\pi x r

c)

A = π\pi x r2r^2  

d)

A = π\pi x D2D^2   

101.

What is the area of a shape?

a)

Distance around the shape

b)

The number of square units to cover a shape

c)

The distance around and to cover a shape

d)

Length and width

102.

What is the perimeter of a shape?

a)

Distance around the shape

b)

The number of square units to cover a shape

c)

The distance around and to cover a shape

d)

Length times width

103.

What is the area of a trapezoid?

a)

Base x Height

b)

1/2 x Base x Height

c)

1/2 x Height x (Base1 + Base2)

d)

1/2 x Height x (Base1 x Base2)

104.

What is the area of a Parallelogram?

a)

Base x Height

b)

1/2 x Base x Height

c)

1/2 x Height x (Base1 + Base2)

d)

1/2 x Height x (Base1 x Base2)

105.

What is the area of a Square?

a)

Base x Height

b)

1/2 x Base x Height

c)

Side x Side

d)

1/2 x Height x (Base1 x Base2)

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