Find the Area of a Polygon is a free printable Grade 6 mathematics worksheet with 15 multiple-choice questions on finding area and perimeter for common polygons. Students calculate the area of trapezoids, triangles, parallelograms, shaded regions, and other figures, including polygons identified by coordinate vertices. Several items use real-world contexts, such as a trapezoidal tabletop and a campsite with a tent.
The worksheet also asks students to distinguish between area and perimeter, determine the uncovered area of a larger coordinate-based region, and report measurements in appropriate square or linear units. It provides varied practice with formulas, dimensions, coordinate distances, and composite-region reasoning. A complete answer key is included, making this free printable worksheet useful for Grade 6 classwork, independent practice, review, or assessment.
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Find the Area of a Polygon
Total questions: 15
Name
Class
Date
1.
Find the area of the trapezoid.
a)
A = 105 m2
b)
A = 140 m2
c)
A = 125 m2
d)
A = 95 m2
2.
Find the area of the trapezoid.
a)
A = 11 in2
b)
A = 6 in2
c)
A = 9 in2
d)
A = 5 in2
3.
Find the area of the figure.
a)
A = 90 ft2
b)
A = 68 ft2
c)
A = 76 ft2
d)
A = 84 ft2
4.
Find the area of the figure.
a)
A = 105 in2
b)
A = 85 in2
c)
A = 110 in2
d)
A = 90 in2
5.
Find the area of the figure.
a)
A = 142 cm2
b)
A = 120 cm2
c)
A = 134 cm2
d)
A = 110 cm2
6.
Find the area of the polygon with the given vertices.
P(4, 3), Q(4, 7), R(9, 7), S(9, 3)
a)
A = 24 units2
b)
A = 20 units2
c)
A = 16 units2
d)
A = 25 units2
7.
Find the perimeter of the polygon with the given vertices.
T(2, 7), U(2, 9), V(5, 9), W(5, 7)
a)
P = 16 units
b)
P = 14 units
c)
P = 12 units
d)
P = 10 units
8.
The base lengths of a trapezoidal tabletop are 6 feet and 8 feet. The height is 5 feet. What is the area of the tabletop?
a)
The area is 35 ft2
b)
The area is 45 ft2
c)
The area is 40 ft2
d)
The area is 42 ft2
9.
The vertices of a campsite are (25, 15), (25, 30), (55, 30), and (55, 15). The vertices of your tent are (30, 20), (30, 25), (40, 25), and (40, 20). The coordinates are measured in feet. What is the area of the campsite not covered by your tent?
a)
The area of the campsite not covered by the tent is 380 square feet.
b)
The area of the campsite not covered by the tent is 420 square feet.
c)
The area of the campsite not covered by the tent is 400 square feet.
d)
The area of the campsite not covered by the tent is 360 square feet.
10.
Find the area of the triangle.
a)
A = 80 km2
b)
A = 120 km2
c)
A = 160 km2
d)
A = 90 km2
11.
Find the area of the parallelogram.
a)
A = 400 yd2
b)
A = 250 yd2
c)
A = 500 yd2
d)
A = 600 yd2
12.
Find the area of the parallelogram.
a)
A = 36 units2
b)
A = 48 units2
c)
A = 60 units2
d)
A = 40 units2
13.
Find the area of the shaded region.
a)
A = 40 ft2
b)
A = 65 ft2
c)
A = 50 ft2
d)
A = 70 ft2
14.
Find the area of the trapezoid.
a)
A= 24 units2
b)
A= 20 units2
c)
A= 18 units2
d)
A= 16 units2
15.
Find the area and perimeter of the triangle.
a)
A = 67.5 m2 and P = 33 m
b)
A = 45 m2 and P = 39 m
c)
A = 45 m2 and P = 33 m
d)
A = 54 m2 and P = 30 m
Answer Key
Find the Area of a Polygon
Total questions: 15
1.
a)
A = 105 m2
2.
b)
A = 6 in2
3.
c)
A = 76 ft2
4.
d)
A = 90 in2
5.
b)
A = 120 cm2
6.
b)
A = 20 units2
7.
d)
P = 10 units
8.
a)
The area is 35 ft2
9.
c)
The area of the campsite not covered by the tent is 400 square feet.
10.
a)
A = 80 km2
11.
c)
A = 500 yd2
12.
b)
A = 48 units2
13.
c)
A = 50 ft2
14.
d)
A= 16 units2
15.
c)
A = 45 m2 and P = 33 m
140 %
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FAQs
What does the Find the Area of a Polygon worksheet cover?
This Grade 6 worksheet uses 15 multiple-choice questions to practice finding the area of trapezoids, triangles, parallelograms, shaded figures, and other polygons. Students also find the perimeter of coordinate-based polygons, calculate the uncovered area around a tent, and solve one item requiring both the area and perimeter of a triangle.
How can I use this worksheet to teach finding the area of polygons?
Introduce the worksheet by reviewing how dimensions and coordinate vertices identify a polygon’s side lengths, base, and height. Have students solve a few trapezoid, triangle, and parallelogram items while explaining which measurements belong in each area calculation, then use the campsite-and-tent question to discuss subtracting one region from another. Finish by asking students to explain why the coordinate-based perimeter item requires linear units rather than square units.
What mistakes should I watch for when students complete this polygon area worksheet?
Watch for students choosing a perimeter answer when a question asks for area, or reporting square units for the perimeter question. Students may also use the wrong height or base in trapezoid and triangle calculations, confuse horizontal and vertical coordinate distances, or forget to subtract the tent’s area from the campsite’s total area. In the final triangle item, check that students identify both requested measures instead of selecting an area-only or perimeter-only result.
How do I assign and grade this polygon area worksheet?
The worksheet is available as a printable PDF and as a digital quiz on Wayground, so you can use the 15 multiple-choice items for independent practice, review, or assessment. It includes a complete answer key, and printable submissions can be graded by scanning student work with the Wayground for Teachers app. The PDF option can also support schools that are reducing screen time.
How can I differentiate this polygon area worksheet for my students?
Use the worksheet’s Advanced Settings to adjust font spacing or font size so the 15 multiple-choice items and coordinate information are easier to read. You can also select a dyslexia-friendly font or translate the worksheet into another language when helpful for students working with polygon vocabulary, formulas, and measurement units.
Where can I find more worksheets like Find the Area of a Polygon on Wayground?
Wayground offers a comprehensive collection of free printable worksheets and practice problems across subjects, with downloadable PDFs and answer keys to help students master essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.