WorksheetsArea of Complex Figures
Total questions: 9
Name
Class
Date
Answer KeyArea of Complex Figures
Total questions: 9
1.
a) 82 ft2
2.
d) 12 cm2
3.
b) 40in2
4.
c) 106 m2
5.
a) 13,600 ft²
6.
c)
212.5
7.
c) 106 m2
8.
n/a
9.
n/a
Area of Complex Figures
9 questions
6th - 6th Grade
Mathematics
Area of Complex Figures is a free printable Grade 6 mathematics worksheet that helps students find the area of composite and shaded regions. The seven multiple-choice questions use real-world settings such as gardens, lawns, fountains, and grass patches, as well as figures with shaded sections, requiring students to determine which parts of a figure contribute to the total or remaining area. The worksheet also includes two open-ended questions that ask students to recall the area formulas for triangles and trapezoids. This combination gives teachers a quick way to check both problem-solving and formula knowledge. Use the complete answer key to review solutions, identify errors in subtracting interior regions or interpreting measurements, and support instruction on area of complex figures. The worksheet is available as a free printable PDF.
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FAQs
What does the Area of Complex Figures worksheet cover?
This Grade 6 math worksheet focuses on finding the area of composite and shaded figures, including regions formed by an outer shape and an interior garden, fountain, house, or patch of grass. Seven multiple-choice items assess area calculations in diagrams and word problems, while two open-ended items ask students to recall the formulas for the area of a triangle and a trapezoid.
How can I use this worksheet to teach area of complex figures?
Introduce the worksheet by modeling how to identify the relevant regions in a shaded diagram or real-world figure before choosing a calculation. Have students explain whether they need to find a total area, subtract an interior region, or use a shape-specific formula, then use the open-ended triangle and trapezoid items to connect their calculations to the formulas they should know.
What mistakes should I watch for when students complete this worksheet?
Watch for students subtracting the wrong interior region in the garden, fountain, lawn, and shaded-area problems, or selecting an answer with incorrect square units. Students may also confuse the area formulas for triangles and trapezoids, so ask them to identify the shape and justify the formula before completing the two open-ended questions.
How do I assign and grade this Area of Complex Figures worksheet?
You can assign the worksheet as a printable PDF or as a digital quiz on Wayground. It includes a complete answer key, and printable submissions can be graded by scanning student work with the Wayground for Teachers app. The printable format also gives schools an option for reducing screen time.
What formulas do students need to know for this worksheet?
The two open-ended questions specifically check whether students can recall the area formulas for triangles and trapezoids. The remaining items apply area reasoning to composite and shaded figures, so students should also be able to decide which regions to combine or subtract when interpreting each diagram or word problem.
Where can I find more worksheets like this on Wayground?
Wayground offers a broad 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.