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Worksheets

Areas of shapes

Total questions: 131

Worksheet time: 5hrs 17mins

Name
Class
Date
1.

Find the area of the trapezoid. Enter your answer to the nearest tenth, without units.

(a)  

2.

Find the area of the rhombus. 8 is the measurement for half of the diagonal. Enter your answer without units.

(a)  

3.

Find the area of the kite. Enter your answer rounded to the nearest tenth, without units.

(a)  

4.

Find the area of the rhombus.

a)

96 cm2

b)

48 cm2

c)

12 cm2

d)

24 cm2

5.

Find the value of x if the area of the trapezoid is 54

a)

10

b)

11

c)

8

d)

9

6.

Sally built a rose garden in her front yard in the shape of the trapezoid shown here. Find the area of the rose garden.

a)

99 ft2

b)

127 ft2

c)

153 ft2

d)

54 ft2

7.

One diagonal of a rhombus is half as long as the other diagonal. If the area of the rhombus is 81 square inches, what are the lengths of the diagonals?

a)

DF = 14 in, EG = 7 in

b)

DF = 18 in, EG = 9 in

c)

DF = 16 in, EG = 8 in

d)

DF = 27 in, EG = 6

8.

A trapezoid has a height of 8 meters, a base length of 12 meters, and an area of 64 square meters. What is the length of the other base? Enter your answer without units.

(a)  

9.

Find the area of the kite. Enter your answer without units.

(a)  

10.

The area of the kite is 104 ft2. Find the value of x (which is only half of the diagonal). Enter your answer rounded to the tenth, without units.

(a)  

11.

find the area

a)

19.5 m2

b)

78 m2

c)

39 m2

d)

27 m2

12.

What is the area of this trapezoid?

a)

320 square centimeters

b)

416 square centimeters

c)

448 square centimeters

d)

560 square centimeters

13.
What is the area of this trapezoid?
a)
16cm 2
b)
24cm2
c)
16 cm
d)
13cm 2
14.
Determine the area of the trapezoid.
a)
160 cm2
b)
304 cm2
c)
80 cm2
d)
152 cm2
15.

What is the area of this kite?

a)

320 square centimeters

b)

160 square centimeters

c)

36 square centimeters

d)

6336 square centimeters

16.

How do I label AREA?

a)

no labeling needed

b)

square units

c)

units

d)

cubed units

17.

Find the area of the kite in square feet.

a)

34

b)

68

c)

17

d)

18.5

18.

Find the area of the trapezoid in square yards.

a)

59.5

b)

119

c)

71.5

d)

40

19.

Find the area of the trapezoid in square meters.

a)

116.25

b)

58.125

c)

232.5

d)

742.5

20.
Area of triangle?
a)
17 units2
b)
20 units2
c)
10 units2
d)
16 units2
21.
Find the area of the figure:
a)
30 ft2
b)
60 ft2
c)
16 ft2
d)
36 ft2
22.
What is the area?
a)
28 square units
b)
35 square units
c)
20 square units
d)
16 square units
23.
What is the area?
a)
56 square cm
b)
28 square cm
c)
32 square cm
d)
19 square cm
24.
If the area for this parallelogram is 21 square units, what is the height?
a)
4
b)
14
c)
7
d)
3
25.

Find the area of the kite in square centimeters.

a)

24

b)

48

c)

12

d)

67.5

26.

What are the lengths of the 2 diagonals?

(remember it is only showing you part of the diagonal)

part1 + part2 = diagonal

a)

22 and 24 m

b)

5.5 and 6 m

c)

44 and 48 m

d)

14 and 12 m

27.

What is the area of the rhombus? Use the diagonals from above.    d1d22 \frac{d1\cdot d2}{2}\   

a)

264 m2

b)

448 m2

c)

121 m2

d)

255 m2

28.

What is the area of the kite? Remember to find the diagonals first.  d1d22\frac{d1\cdot d2}{2}  

a)

105 cm2

b)

52.5 cm2

c)

210 cm2

d)

102 cm2

29.

What is the area of the kite? Remember to find the diagonals first.   d1d22\frac{d1\cdot d2}{2}  

a)

17 in

b)

136 in2

c)

272 in2

d)

144 in2

30.

find the area in cm if each side is 5.2 cm. 
(instead of 6m use 600 cm)  d1d22\frac{d1\cdot d2}{2}  

a)

25.2

b)

50.4

c)

2520

d)

5040

31.

Find the area. Remember to find the diagonals first.  d1d22\frac{d1\cdot d2}{2}  

a)

19.5 m2

b)

78 m2

c)

39 m2

d)

27 m2

32.

Find the area.   d1= 8.5    d2= 10.2

  d1d22\frac{d1\cdot d2}{2}  

a)

43.86

b)

43.87

c)

43.88

d)

43.89

33.

What are the diagonals of this? 

(Remember you might have to add)

a)

336 in 2

b)

26 in 2

c)

108 in2

d)

672 in 2

34.

What is the area of this kite?

(Use the diagonals from above) d1d22\frac{d1\cdot d2}{2}

a)

28 in, 24 in

b)

28 in

c)

52 in

35.

What is the area of this rhombus?
d1 = 12     d2= 4            d1d22\frac{d1\cdot d2}{2}  

a)

48 cm2

b)

24 cm2

c)

16 cm2

d)

32cm2

36.

Find the area of the parallelogram

a)

A = 13 m

b)

A = 20 m2

c)

A = 50 m

d)

A = 40 m2

37.

Find the area of the parallelogram.

a)

A = 70 m2

b)

A = 35 m2

c)

A = 17 m

d)

A = 70

38.

Find the area of the triangle.

a)

A = 42 m

b)

A = 210 m2

c)

A = 105 m2

d)

A = 84 m2

39.

Find the area of the trapezoid.

a)

A = 154 cm2

b)

A = 840 cm2

c)

A = 360 cm2

d)

A = 77 cm2

40.

Find the area of the figure.

a)

A = 600 ft2

b)

A = 1200 ft2

c)

A = 1776 ft2

d)

A = 186 ft2

41.

Find the area of the kite.

a)

78 m2

b)

39 m2

c)

54 m2

d)

108 m2

42.

Roxie is coloring a rectangular sheet of paper. If the base of the rectangle is 8 inches and the height is 11 inches, what is the area that Roxie colors?

a)

88 in2

b)

38 in2

c)

176 in2

d)

44 in2

43.

Mr. Lee draws a diagram of his property. His house is shaped like a rectangle, with a base of 100 feet and a height of 75 feet. Next to this house is his garage, which is shaped like a square. Each of the sides of the garage is 25 feet. Calculate the area of the entire property belonging to Mr. Lee.

a)

8,125 ft2

b)

7,500 ft2

c)

625 ft2

d)

6,875 ft2

44.

The area of a triangular-shaped sail on a boat is 62 ft2. The height is 8 ft. What is the base?

a)

15.5 ft2

b)

248 ft2

c)

496 ft2

d)

248 ft2

45.

Mr. Lee paints a picture of a house. The wall has the shape of a rectangle, which has a height of 5 inches and a base of 8 inches. The roof has the shape of a triangle, which has a height of 3 inches and a base of 10 inches. What is the total area that Mr. Lee paints?

a)

55 in2

b)

40 in2

c)

15 in2

d)

70 in2

46.

What is the name of this plane figure?

a)

rhombus

b)

kite

c)

parallelogram

d)

trapezoid

47.

What do you call a polygon with 5 sides?

a)

heptagon

b)

pentagon

c)

hexagon

d)

octagon

48.

What do you call this polygon?

a)

heptagon

b)

hexagon

c)

octagon

d)

nonagon

49.

Which of the following is not true about rectangles?

a)

It has 4 right angles.

b)

It has two pairs of parallel sides.

c)

It has four equal sides

d)

It has equal diagonals.

50.

Which of the following is TRUE about a rhombus?

a)

It has four right angles.

b)

It has four equal sides.

c)

It has one pair of parallel sides.

d)

It has equal diagonals.

51.

What is the area of a rectangle with base 8 cm and height of 6 cm?

a)

14 sq. cm

b)

24 sq. cm

c)

48 sq. cm

d)

96 sq. cm

52.

Find the area of this triangle.

a)

30 sq. ft

b)

39 sq. ft

c)

60 sq. ft

d)

78 sq. ft

53.

Calculate the area of this parallelogram.

a)

37.5 sq. cm

b)

52.5 sq. cm

c)

75 sq. cm

d)

105 sq. cm

54.

What is the area of the rhombus?

a)

30 sq. cm

b)

60 sq. cm

c)

75 sq. cm

d)

120 sq. cm

55.

What is the difference of the areas of the two rectangles?

a)

58 sq. units

b)

68 sq. units

c)

78 sq. units

d)

98 sq. units

56.

Find the total area of the two rectangles.

a)

22 sq. units

b)

40 sq. units

c)

50 sq. units

d)

60 sq. units

57.

For the given triangles, complete the following statement:

The area of triangle DEF is ________ the area of triangle ABC.

a)

1/2

b)

1/4

c)

2 times

d)

4 times

58.

Which of the following has the least area?

a)

figure A

b)

figure B

c)

figure C

d)

figure D

59.

How do you compare the areas of the rectangle and the triangle?

a)

The area of the rectangle is greater than the area of the triangle.

b)

The area of the triangle is greater than the area of the rectangle.

c)

The area of the rectangle is equal the area of the triangle.

d)

The area of the rectangle is less than the area of the triangle.

60.

In the figure, a = 18 cm, b = 25 cm, and the area of the trapezoid is 344 sq. cm. Find the length of its height, h.

a)

12 cm

b)

14 cm

c)

16 cm

d)

18 cm

61.

In the figure, the AC = 13 cm, BD = 18 cm and EG = 12 cm. if the area of the figures are equal, find the length of FH.

a)

16.5 cm

b)

17.5 cm

c)

18.5 cm

d)

19.5 cm

62.

What is the formula for calculating the area of a rhombus?

a)

A=12d1d2A=\frac{1}{2}d_1d_2

b)

A=12bhA=\frac{1}{2}bh

c)

A=12h(b1+b2)A=\frac{1}{2}h\left(b_1+b_2\right)

d)

A=bhA=bh

63.

What is the formula for calculating the area of a kite?

a)

A=12d1d2A=\frac{1}{2}d_1d_2

b)

A=12bhA=\frac{1}{2}bh

c)

A=12h(b1+b2)A=\frac{1}{2}h\left(b_1+b_2\right)

d)

A=bhA=bh

64.

If a circle has a diameter of 16, what is the area of the circle?

a)

8 8\

b)

8π 8\pi\ \

c)

16π 16\pi\ \

d)

64π 64\pi\ \

65.

What is the area of this kite?

a)

38

b)

168

c)

336

d)

6615

66.

What is the area of this kite?

a)

320

b)

24

c)

96

d)

48

67.

What is the area of this rhombus?

a)

40

b)

160

c)

320

d)

80

68.

What is the area of this rhombus?

a)

420

b)

105

c)

210

d)

105

69.

What is the area of this circle?

a)

12π12\pi

b)

144π144\pi

c)

24π24\pi

d)

576π576\pi

70.

If a circle has radius 25, what is the diameter?

a)

50

b)

12.5

c)

625

d)

5

71.
find the area
a)
19.5
b)
78
c)
39
d)
27
72.
What is the area of this kite?
a)
336in 2
b)
552in 2
c)
336 in
d)
456in 2
73.

What is the area of this trapezoid?

a)

192.5 square centimeters

b)

55 square centimeters

c)

45 square centimeters

d)

385 square centimters

74.
Find the area of the triangle.
a)
39
b)
78
c)
30
d)
60
75.
Find the area of the triangle
a)
36
b)
35
c)
84
d)
70
76.
Find the area of the parallelogram.
a)
150
b)
75
c)
135
d)
50
77.
Find the area of the kite.
a)
78
b)
39
c)
54
d)
108
78.
Find the area of the rhombus.
a)
96
b)
192
c)
384
d)
48
79.

Find the area of the trapezoid.

a)

56.25 ft2

b)

70.31 ft2

c)

28.12 ft2

d)

43.75 ft2

80.

How do you find h the height of the triangle?

a)

11.25 6.25 = 5; height = 5 ft11.25\ -\ 6.25\ =\ 5;\ height\ =\ 5\ ft

b)

11.25 5 = 6.25 ; height = 6.25 ft11.25\ -\ 5\ =\ 6.25\ ;\ height\ =\ 6.25\ ft

81.

A kite is a quadrilateral with two pairs of adjacent sides that are equal in length. Jackson has a rectangular piece of cloth that has an area of 298 cm2. Does Jackson have enough cloth to make the kite shown?

a)

Yes, the area of the kite is 150 cm2

150 cm2 < 298 cm2

b)

No, the area of the kite is 300 cm2

300 cm2 > 298 cm2

c)

Yes, the area of the kite is 200 cm2

200 cm2 < 298 cm2

d)

No, the area of the kite is 600 cm2

600 cm2 > 298 cm2

82.

Find the area of the trapezoid.

a)

150 in.2

b)

72 in.2

c)

60 in.2

d)

45 in.2

83.

What is b the base of the highlighted triangle?

a)

12 cm

b)

8 cm

c)

4 cm

d)

4 cm2

84.

Find the area of the trapezoid.

a)

240 cm2

b)

160 cm2

c)

200 cm2

d)

128 cm2

85.

Find the area of the kite.

a)

60 in.

b)

42 in.2

c)

30 in.2

d)

60 in.2

86.

Find the area of kite QRST in square units.

a)

30

b)

15

c)

60

d)

20

87.

Find the area of kite QRST in square units.

a)

4.24

b)

8.99

c)

17.98

d)

2.12

88.
According the the definition of a kite, "A kite is a quadrilateral with..."
a)
2 pairs of OPPOSITE congruent sides.
b)
2 pairs of CONSECUTIVE congruent sides.
c)
4 congruent sides.
d)
congruent diagonals.
89.
In a kite, are the OPPOSITE SIDES congruent? (picture it...)
a)
Yes!
b)
No.
90.
What is the area of this circle?
a)
82.13 m2
b)
78.50 m2
c)
314.16 m2
d)
170.12 m2
91.
A circular disc is cut from a piece of square plastic.  How much plastic is left over? The side length of the piece of plastic is 15 inches. 
a)
47.1 in.2
b)
48.37 in.2
c)
225 in2
d)
176.37in.2
92.
The diameter of the face-off circle on an ice-hockey rink is 30 feet. Find its area.
a)
675.6 ft2
b)
29.67 ft2
c)
545.8 ft2
d)
706.5 ft2
93.
A cruise ship has a large, circular window. It has a diameter of 6 meters. What is the window's area?
a)
31.25 m2
b)
29.55 m2
c)
30.36 m2
d)
28.26 m2
94.
Ms. Catall is using a compass to find her way out of the woods. The compass has a radius of 4 centimeters. What is the compass's area?
a)
49.2 cm2
b)
45.6 cm2
c)
50.24 cm2
d)
55.9 cm2
95.
Jayne has a very large circular lollipop that has a circumference of 25.12 inches. What would the diameter of Jayne’s lollipop be? Use π = 3.14.
a)
4 in.
b)
8 in.
c)
12 in.
d)
16 in.
96.
Jayne has a very large circular lollipop that has a circumference of 25.12 inches. What would the area of Jayne’s lollipop be? Use π = 3.14. (You are going to have to find the diameter then radius before finding area.)
a)
50.24 in.2
b)
200.96 in2
c)
12.56 in. 2
d)
78.88 in.2
97.
Mrs. Apple just bought a new dinning room table. She needs to make a table cloth for decoration. What amount of fabric should she buy if the table has a diameter of 5 feet? Choose the equation that would best help solve this problem.
a)
C = π5
b)
C = (2)(π)(2.5)
c)
A = π x 5 x 5
d)
A = π x 2.5 x 2.5
98.
A clock face has a diameter of 10 inches. What is the approximate area of the clock face in square inches?
a)
314 in2
b)
31.4 in2
c)
7.85 in2
d)
78.5 in2
99.
Shring's dining room table is round and has a radius of 4.5 feet. What is the tabletop's area?
a)
63.585 ft2
b)
68.345 ft2
c)
64.585 ft2
d)
61.345 ft2
100.
what is the area of this semicircle ?
a)
100.48cm2
b)
80cm2
c)
200.96cm2
d)
none of the above
101.
A circle has an circumference of 56.52 cm. Find the area of the circle.
a)
1017.36 cm2
b)
254.34 cm2
c)
3194.51 cm2
d)
798.63 cm2
102.
What is the area of this circle?
a)
62.59 cm2
b)
113.1 cm2
c)
19.81 cm2
d)
28.26 cm2
103.
If the circumference of a circle is 600 mm, what is the diameter?
a)
30 mm
b)
95.54 mm
c)
191.08 mm
d)
360000 mm
104.
What is the area of this circle?
a)
8322.13 cm2
b)
1133.54 cm2
c)
4536.46 cm2
d)
1267.09 cm2
105.
Hannah drew a circle with a radius of 30 cm. Jonas drew a circle with a radius of 20 cm. What is the approximate difference in the areas of their circles?
a)
2,826 cm2
b)
1,570 cm2
c)
1,256 cm2
d)
314 cm2
106.
Jesse used rope to stake a circular region in which to plant a garden. The diameter of the region is 20 inches. What is the approximate area of half of the garden?
a)
31.4 in2
b)
314 in2
c)
157 in2
d)
628 in2
107.
Find the area of the circle below. Use π = 3.14.
a)
18.84 cm2
b)
225 cm2
c)
9 cm2
d)
28.26 cm2
108.
Find the area of the circle
a)
43.96
b)
153.86
c)
87.82
d)
307.72
109.
Find the area of the circle
a)
56.52
b)
254.34
c)
1017.36
d)
113.04
110.
What is the area of a circle with a diameter of 10 cm ?
a)
31.4 cm²
b)
78.5 cm²
c)
15.7 cm²
d)
314 cm²
111.
What is the formula for area of a circle given the radius?
a)
A = πr
b)
A = 2πr
c)
A = πd
d)
A = πr²
112.
What is the area of a circle with a radius of 21 cm?
a)
1384.74 cm2
b)
2142.12 cm2
c)
4348.08 cm2
d)
1289.12 cm2
113.

 Which formula shows the correct way of finding the area of a circle?

a)

 A=2πrA=2\pi r  

b)

 A= πr2A=\ \pi r^2  

c)

 A=πr2A=\pi r2  

d)

 A=πdA=\pi d  

114.

Areas are measured in terms of ________.

a)

cubic units

b)

degrees

c)

meter

d)

square units

115.

How will you find the area of a circle?

a)

Divide the radius by 2 then times 3.14

b)

Multiply the radius by itself times the value of pi

c)

Square 3.14 times the radius

d)

Square the diameter times 3.14

116.

What is the area of a circular pool whose radius is 2 meters?

a)

1.256m21.256m^2

b)

12.56m212.56m^2

c)

125.6m2125.6m^2

d)

1256m21256m^2

117.

A circle is drawn inside a square with a perimeter of 32 cm. If the circle touches each side of the square, what is the area of the circle?

a)

50.24cm250.24cm^2

b)

200.96 cm2200.96\ cm^2

c)

502.4 cm2502.4\ cm^2

d)

2009.6 cm22009.6\ cm^2

118.

The diameter of a circle is 10 cm. How will you find the area of a circle?

a)

Square the diameter times 3.14

b)

Divide the diameter by 2 times 3.14

c)

Multiply the diameter by itself times 3.14

d)

Divide the diameter by 2 then multiply itself and times 3.14

119.

What is the area of a circular table top if its diameter is 20 centimeters?

a)

3.14cm23.14cm^2

b)

31.40cm231.40cm^2

c)

314cm2314cm^2

d)

3140cm23140cm^2

120.

The bottom surface of a circular pond with a radius of of 3.5 m will be tiled. Find the area of the surface that will be tiled.

a)

3.846m23.846m^2

b)

38.465m238.465m^2

c)

384.65m2384.65m^2

d)

3846.5m23846.5m^2

121.

Find the area of the circle

a)

43.96

b)

153.86

c)

87.82

d)

307.72

122.
Find the area of the circle
a)
43.96
b)
153.86
c)
87.82
d)
307.72
123.
find the area of the circle below.
a)
100 cm
b)
225 cm
c)
9 cm
d)
28.26 cm
124.
Shring's dining room table is round and has a radius of 4.5 feet. What is the tabletop's area?
a)
63.585 ft2
b)
68.345 ft2
c)
64.585 ft2
d)
61.345 ft2
125.
What is the area of this circle?
a)
163.2
b)
15.3
c)
124.2
d)
113.1
126.
The largest cookie ever baked measured a radius of 51 feet.  Which of these is the closest to the area of the cookie?  
a)
2601 ft²
b)
8167 ft²
c)
2042 ft²
d)
162 ft²
127.
Two parallelograms are on equal bases and between the same parallels.  The ratio of their areas is _______
a)
1 : 2
b)
1 : 1
c)
2 : 1
d)
3 : 1
128.

What is the area?

a)

28 square units

b)

35 square units

c)

14 square units

d)

35 square units

129.

What is the area of the parallelogram?

a)

63 cm2

b)

72 cm2

c)

56 cm2

130.

What is the area of the parallelogram?

a)

150 square units

b)

120 square units

c)

180 square units

d)

60 square units

131.

What is the area of triangle?

a)

17 units2

b)

20 units2

c)

10 units2

d)

16 units2