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G 10-2 Areas of Trapezoids, Rhombuses, and Kites - Printable Mathematics Worksheets - Wayground

G 10-2 Areas of Trapezoids, Rhombuses, and Kites

14 questions

9th - 12th Grade

Mathematics

G 10-2 Areas of Trapezoids, Rhombuses, and Kites is a Grade 9–12 mathematics worksheet with 14 multiple-choice questions. Students find the areas of kites, rhombuses, and trapezoids using given measurements, including diagonal lengths, side lengths, bases, and heights. The worksheet also checks whether students can identify quadrilateral properties, determine diagonal lengths, and classify a shape as a trapezoid, kite, rhombus, or isosceles rectangle. This practice helps students select the appropriate area relationship for each quadrilateral and interpret measurements in square units, square feet, square yards, or square meters. The property questions reinforce the geometric features that distinguish these shapes, such as parallel sides in trapezoids and perpendicular diagonals in kites. Use this free printable worksheet for independent practice, review, or assessment; it includes a complete answer key for efficient checking.

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G 10-2 Areas of Trapezoids, Rhombuses, and Kites

Total questions: 14

Name
Class
Date
1.

Find the area of kite QRST in square units.

a)

30

b)

15

c)

60

d)

20

2.

Find the area of the kite in square feet.

a)

34

b)

68

c)

17

d)

18.5

3.

Find the area of the rhombus in square meters.

a)

32

b)

64

c)

16

d)

59

4.

Find the area of the trapezoid in square feet.

a)

125

b)

720

c)

250

d)

152

5.

Find the area of the trapezoid in square yards.

a)

59.5

b)

119

c)

71.5

d)

40

6.

Find the area of the trapezoid in square feet.

a)

67.88

b)

39

c)

135.76

d)

72

7.

Find the area of the kite in square meters.

a)

90

b)

180

c)

45

d)

792

8.
Find the area of the figure if each side equals 17.
a)
35
b)
70
c)
140
d)
280
9.
find the area
a)
19.5
b)
78
c)
39
d)
27
10.
All trapezoids have exactly one set of sides _____________.
a)
congruent
b)
parallel
c)
consecutive
d)
bisecting
11.
The diagonals in a kite  __________.
a)
are perpendicular
b)
are congruent
c)
bisect each other
12.

What are the lengths of the 2 diagonals?

a)

22 and 24 m

b)

5.5 and 6 m

c)

44 and 48 m

d)

14 and 12 m

13.
What is this shape?
a)
Trapezoid
b)
Kite
c)
Rhombus
d)
Isosceles Rectangle 
14.

What is the area?

a)

8 square units

b)

16 square units

c)

6 square units

Answer Key

G 10-2 Areas of Trapezoids, Rhombuses, and Kites

Total questions: 14

1.
b)

15

2.
a)

34

3.
a)

32

4.
a)

125

5.
a)

59.5

6.
a)

67.88

7.
a)

90

8.
d) 280
9.
c) 39
10.
b) parallel
11.
a) are perpendicular
12.
a)

22 and 24 m

13.
b) Kite
14.
a)

8 square units

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FAQs

What does this worksheet cover?

This worksheet covers finding the areas of kites, rhombuses, and trapezoids through 14 multiple-choice questions. Students apply measurements such as diagonals, bases, heights, and side lengths, then identify properties including parallel sides in trapezoids and perpendicular diagonals in kites.

How can I use this worksheet to teach areas of kites, rhombuses, and trapezoids?

Have students first identify the quadrilateral and the measurements provided before choosing an area relationship. Ask them to explain why a kite or rhombus problem uses diagonal measurements, while a trapezoid problem uses its bases and height, and then use the multiple-choice options to discuss calculation errors.

What mistakes should I watch for when students complete this worksheet?

Watch for students using side lengths instead of the relevant diagonals, bases, or height, and for forgetting the one-half factor in area calculations. Students may also confuse a shape’s classification or property, such as selecting congruent diagonals for a kite instead of perpendicular diagonals or overlooking the parallel sides of a trapezoid.

How do I assign and grade this worksheet?

This areas of quadrilaterals worksheet is available as a printable PDF and as a digital quiz on Wayground, with a complete answer key included. Printable submissions can be graded by scanning student work with the Wayground for Teachers app, while the digital version can be assigned for online completion.

How can I differentiate this worksheet for my students?

In the worksheet’s Advanced Settings, adjust font spacing or choose a larger font size to make the 14 multiple-choice area and property questions easier to read. You can also apply a dyslexia-friendly font or translate the worksheet into another language while keeping the kite, rhombus, and trapezoid practice intact.

Where can I find more worksheets like this on Wayground?

Wayground offers a broad collection of free printable worksheets and practice problems across subjects, including downloadable PDFs with answer keys to support essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.

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