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Area of Triangle on a Grid - Printable Mathematics Worksheets - Wayground

Area of Triangle on a Grid

17 questions

6th Grade

Mathematics

This Grade 6 mathematics worksheet helps students find the area of triangles using the formula A = b × h ÷ 2. Across 17 multiple-choice questions, students calculate areas from given bases and heights, identify the correct formula, determine a missing height from a known area and base, and interpret triangles and figures shown on grids. The problems use square units and measurement units such as millimeters, inches, centimeters, and meters, giving students practice connecting numerical calculations with visual representations. The worksheet is designed for guided practice, independent review, or a quick assessment of triangle-area skills. Its coordinate-grid and diagram-based questions require students to identify relevant dimensions and apply the same area relationship in different representations, while the answer choices help reveal errors such as multiplying base and height without dividing by two. This is a free printable worksheet with a complete answer key for Grade 6 math instruction.

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Area of Triangle on a Grid

Total questions: 17

Name
Class
Date
1.
Find the Area of this triangle

Find the Area of this triangle

a)

19.8 km2

b)

37.8 km2

c)

18.9 km2

d)

35 km2

2.

Find the area of a triangle with a height of 4 mm and a base of 6 mm?

a)

5 mm squared

b)

6 mm squared

c)

12 mm squared

d)

24 mm squared

3.
Find the area of the triangle.

Find the area of the triangle.

a)

12 square units

b)

8 square units

c)

6 square units

d)

4 square units

4.

Find the area of a triangle with a base of 14 inches and a height of 3 inches.

a)

21 square inches

b)

42 square inches

c)

10.5 square inches

d)

7 square inches

5.

If a triangle has an area of 24 m² and a base of 8 m, what is its height?

a)

3 m

b)

4 m

c)

5 m

d)

6 m

6.

A triangle has a base of 10 cm and a height of 6 cm. What is its area?

a)

60 cm²

b)

30 cm²

c)

20 cm²

d)

15 cm²

7.

A triangle has a base of 12 cm and a height of 9 cm. Calculate its area.

a)

54 cm²

b)

108 cm²

c)

36 cm²

d)

72 cm²

8.
What is the area of the following triangle?

What is the area of the following triangle?

a)

15 square units

b)

7.5 square units

c)

14 square units

d)

8 square units

9.
What is the area of the following triangle?

What is the area of the following triangle?

a)

15 square units

b)

28 square units

c)

30 square units

d)

35 square units

10.

Which formula would you use to find area of a triangle?

a)

b x h

b)

b x h ÷ 2

c)

l x w

d)

(b+b) x h ÷ 2

11.
What is the area of this figure?

What is the area of this figure?

a)

33 cm2

b)

66 cm2

c)

17 cm2

d)

11 cm2

12.
What is the area of the figure plotted on the coordinate grid?

What is the area of the figure plotted on the coordinate grid?

a)

20 units2

b)

14 units2

c)

10 units2

d)

15 units2

13.
What is the area of the triangle below?

What is the area of the triangle below?

a)

2 square units

b)

2.5 square units

c)

3 square units

d)

3.5 square units

14.
What is the area of this figure?

What is the area of this figure?

a)

7 units2

b)

15 units2

c)

7 1/2 units2

d)

15 1/2 units2

15.
What is the area of the triangle?

What is the area of the triangle?

a)

2.5 square units

b)

3 square units

c)

3.5 square units

d)

4 square units

16.

If the area of a triangle is 36 square inches and the base is 9 inches, what is the height of the triangle?

a)

72 inches

b)

4 inches

c)

8 inches

d)

18 inches

17.
What is the area of this triangle?

What is the area of this triangle?

a)

20 cm2

b)

56 cm2

c)

28 cm2

d)

24 cm2

WaygroundAnswer Key

Area of Triangle on a Grid

Total questions: 17

1.
c)

18.9 km2

2.
c)

12 mm squared

3.
c)

6 square units

4.
a)

21 square inches

5.
d)

6 m

6.
b)

30 cm²

7.
a)

54 cm²

8.
b)

7.5 square units

9.
a)

15 square units

10.
b)

b x h ÷ 2

11.
a)

33 cm2

12.
c)

10 units2

13.
a)

2 square units

14.
c)

7 1/2 units2

15.
b)

3 square units

16.
c)

8 inches

17.
c)

28 cm2

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FAQs

What does the Area of Triangle on a Grid worksheet cover?

This Grade 6 worksheet covers finding the area of triangles by applying A = b × h ÷ 2 to given measurements, diagrams, and coordinate-grid figures. Its 17 multiple-choice questions also ask students to identify the formula and solve for a missing height when the area and base are known, building flexible use of the triangle-area relationship.

How can I use this worksheet to teach finding the area of a triangle on a grid?

Begin by modeling how to identify the base and perpendicular height in one of the worksheet’s grid or figure questions, then show why the product of base and height is divided by two. Have students explain which measurements they used before completing the numerical items, and use the missing-height question to connect the formula to inverse reasoning.

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

Watch for students choosing b × h instead of b × h ÷ 2, especially when the answer choices include the undivided product. Students may also use a slanted side instead of the perpendicular height, misread half-unit measurements on grid figures, or report square units incorrectly. In the missing-height item, check that they rearrange the formula rather than simply dividing the area by the base.

How do I assign and grade this Area of Triangle on a Grid worksheet?

You can assign the worksheet as a printable PDF or as a digital quiz on Wayground, and it includes a complete answer key for all 17 multiple-choice questions. Printable submissions can be graded by scanning student work with the Wayground for Teachers app, while the digital version can be completed and graded online.

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

Use the worksheet’s Advanced Settings to adjust font spacing and font size so the area formulas, measurement values, and grid-based figures are easier to read. You can also enable a dyslexia-friendly font or translate the worksheet into another language, depending on students’ reading needs.

Where can I find more worksheets like this on Wayground?

Wayground offers 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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