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Finding the Area of a Triangle and Other Polygons - Printable Mathematics Worksheets - Wayground

Finding the Area of a Triangle and Other Polygons

21 questions

6th - 6th Grade

Mathematics

This Grade 6 mathematics worksheet develops skill with finding the area of triangles and other polygons. Across 21 questions—13 multiple-choice, 4 multiple-select, and 4 fill-in-the-blank items—students identify and apply A = 1/2bh, calculate triangle areas from diagrams and measurements, solve problems in which the base is longer than the height, and determine which rectangles have the same area as a given triangle. The final items ask students to find the area of shown polygons. The varied question formats move students from recognizing the triangle-area formula to applying it in numerical and comparison problems. Multiple-select items require students to evaluate several dimension pairs, while fill-in-the-blank questions check whether they can produce an area and include square units. This free printable worksheet includes a complete answer key and is designed for Grade 6 independent practice, classwork, review, or formative assessment in a geometry unit.

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Finding the Area of a Triangle and Other Polygons

Total questions: 21

Name
Class
Date
1.

What is the formula for the area of a triangle?

a)

A = 1/2 bh

b)

A = bh

c)

A = s + s + s

2.
What is the area?
What is the area?
a)

12 square cm

b)

12

c)

14 square cm

d)

14

3.
What is the area of the triangle?

What is the area of the triangle?

a)

70 square m

b)

140 square m

c)

60 square m

d)

120 square m

4.
Find the area of the figure:
Find the area of the figure:
a)

30 square ft

b)

60 square ft

c)

16 square ft

d)

36 square ft

5.
Find the area of the triangle.

Find the area of the triangle.

a)

26 square cm

b)

40 square cm

c)

13 square cm

d)

20 square cm

6.
The base of the triangle is 2 ft greater than the height of the triangle. What is the area of the triangle?

The base of the triangle is 2 ft greater than the height of the triangle. What is the area of the triangle?

a)

288 square ft

b)

400 square ft

c)

144 square ft

d)

200 square ft

7.
The base of the triangle is 9 ft greater than the height of the triangle. What is the area of the triangle?

The base of the triangle is 9 ft greater than the height of the triangle. What is the area of the triangle?

a)

308 square ft

b)

110 square ft

c)

560 square ft

d)

154 square ft

8.
The base of the triangle is 4 ft greater than the height of the triangle. What is the area of the triangle?

The base of the triangle is 4 ft greater than the height of the triangle. What is the area of the triangle?

a)

522 square ft

b)

261 square ft

c)

396 square ft

d)

198 square ft

9.
The base of the triangle is 7 ft greater than the height of the triangle. What is the area of the triangle?

The base of the triangle is 7 ft greater than the height of the triangle. What is the area of the triangle?

a)

260 square ft

b)

130 square ft

c)

143 square ft

d)

286 square ft

10.
The dimensions of the triangle are shown. Determine whether a rectangle with each set of dimensions has the same area of the…

The dimensions of the triangle are shown. Determine whether a rectangle with each set of dimensions has the same area of the triangle. Select all that apply.

a)

2 cm by 10 cm

b)

5 cm by 3.5 cm

c)

8 cm by 5 cm

d)

2 cm by 8.5 cm

11.
The dimensions of the triangle are shown. Determine whether a rectangle with each set of dimensions has the same area of the…

The dimensions of the triangle are shown. Determine whether a rectangle with each set of dimensions has the same area of the triangle. Select all that apply.

a)

21 units by 4 units

b)

17 units by 2 units

c)

2 units by 91 units

d)

52.5 units by 4 units

12.
The dimensions of the triangle are shown. Determine whether a rectangle with each set of dimensions has the same area of the…

The dimensions of the triangle are shown. Determine whether a rectangle with each set of dimensions has the same area of the triangle. Select all that apply.

a)

2 in by 18 in

b)

2 in by 6 in

c)

3 in by 4 in

d)

3 in by 12 in

13.
The dimensions of the triangle are shown. Determine whether a rectangle with each set of dimensions has the same area of the…

The dimensions of the triangle are shown. Determine whether a rectangle with each set of dimensions has the same area of the triangle. Select all that apply.

a)

2 cm by 12 cm

b)

6 cm by 4 cm

c)

6 cm by 10 cm

d)

8 cm by 3 cm

14.
A polygon is shown. What is the area of the polygon?

A polygon is shown. What is the area of the polygon?

(a)  

15.
A polygon is shown. What is the area of the polygon?

A polygon is shown. What is the area of the polygon?

(a)  

16.
A polygon is shown. What is the area of the polygon?

A polygon is shown. What is the area of the polygon?

(a)  

17.
A polygon is shown. What is the area of the polygon?

A polygon is shown. What is the area of the polygon?

(a)  

18.
Find the area of the polygon.

Find the area of the polygon.

a)

 36 square units

b)

40 square units 

c)

100 square units 

d)

76 square units 

19.
Find the area of this polygon.

Find the area of this polygon.

a)

162 square in

b)

27 square in

c)

17 square in

d)

24 square in

20.
Find the area of this polygon.

Find the area of this polygon.

a)

36 square cm

b)

42 square cm

c)

144 square cm

d)

15 square cm

21.
Find the area of the irregular polygon

Find the area of the irregular polygon

a)

33 square yd

b)

34.5 square yd

c)

40.5 square yd

d)

30 square yd

WaygroundAnswer Key

Finding the Area of a Triangle and Other Polygons

Total questions: 21

1.
a)

A = 1/2 bh

2.
a)

12 square cm

3.
a)

70 square m

4.
a)

30 square ft

5.
d)

20 square cm

6.
c)

144 square ft

7.
b)

110 square ft

8.
d)

198 square ft

9.
b)

130 square ft

10.
b)

5 cm by 3.5 cm

, d)

2 cm by 8.5 cm

11.
a)

21 units by 4 units

, b)

17 units by 2 units

12.
b)

2 in by 6 in

, c)

3 in by 4 in

13.
a)

2 cm by 12 cm

, b)

6 cm by 4 cm

, d)

8 cm by 3 cm

14.
24 square units
15.
15 square units
16.
21 square units
17.
7.5 square units
18.
c)

100 square units 

19.
b)

27 square in

20.
a)

36 square cm

21.
d)

30 square yd

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FAQs

What does the Finding the Area of a Triangle and Other Polygons worksheet cover?

This Grade 6 worksheet practices finding triangle area with A = 1/2bh, including problems where the base is given as greater than the height. Its 21 items also ask students to select rectangles with the same area as a triangle and calculate the area of shown polygons, using multiple-choice, multiple-select, and fill-in-the-blank formats.

How can I use this worksheet to teach finding the area of triangles?

Begin by modeling A = 1/2bh with a labeled triangle and emphasize that the base and corresponding height must be multiplied before taking half. Then use the base-and-height word problems to have students identify the two dimensions and explain their substitution, followed by the multiple-select rectangle comparisons to discuss why different rectangles can have the same area. Finish with the polygon fill-in items as an independent check of area calculations.

What mistakes should I watch for when students complete this triangle and polygon area worksheet?

Watch for students using bh instead of 1/2bh, confusing area with perimeter, or failing to use the stated relationship between a triangle’s base and height in the word problems. In the multiple-select items, students may choose only one matching rectangle or compare dimensions without calculating each rectangle’s area. They may also omit square units in the fill-in-the-blank polygon answers.

How do I assign and grade this worksheet?

Wayground provides this worksheet as a printable PDF and as a digital quiz, and both versions include a complete answer key. You can grade printable submissions by scanning student work with the Wayground for Teachers app, or review responses from the digital quiz on Wayground.

How can I differentiate this triangle-area worksheet for my students?

Use the worksheet’s Advanced Settings to adjust font spacing or increase the font size so the triangle diagrams, multiple-select choices, and polygon area prompts are easier to read. You can also apply a dyslexia-friendly font or translate the worksheet into another language when useful for students working through the area instructions and fill-in responses.

Where can I find more worksheets like this on Wayground?

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

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