Free Printable WorksheetMathGrade 6Math Curriculum6.G.A.1

6.83 Find Area of Composite Figures by Decomposing into Simpler Shapes Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 6 Math worksheet provides structured practice on 6.83 Find Area of Composite Figures by Decomposing into Simpler Shapes. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

Which answer choice correctly decomposes the figure and computes the total area? (CCSS 6.G.A.1; CA 6.G.A.1; MA 6.G.A.1; NY NY-6.G.1; TX 19 TAC §111.26(b)(8)(B)-(D); FL MA.6.GR.2.1-2.2; VA 6.MG.2a-b)

Whether you are an educator preparing classroom handouts, a tutor reinforcing weekly topics, or a parent supporting homeschool learning, this printable resource gives students the deliberate practice required to achieve subject fluency and master state standards.

Grade

Grade 6

Subject

Math

Domain

Math Curriculum

Formats

PDF & DOCX

Sample Practice Problems

Preview the types of problems and questions covered in this worksheet

Below are sample questions representative of the exercises included on this worksheet and related 6.83 Find Area of Composite Figures by Decomposing into Simpler Shapes skill assessments:

Problem 1Difficulty: Mastery

After decomposing a class display shape, the pieces are listed as: rectangle A: 18 inches by 4 inches; right triangle B: base 10 inches and height 6 inches; right trapezoid C: top base 7 inches, bottom base 13 inches, height 5 inches. Which answer choice correctly uses the pieces and computes the total area?

AAdd all pieces except the last one; total area = 72 + 30 = 102 square inches.

BAdd the areas of all listed pieces; total area = 72 + 30 + 50 = 152 square inches.

CTreat the triangle as a rectangle instead of using 1/2; total area = 182 square inches.

DUse only the largest piece; total area = 72 square inches.

Solution & Explanation:Each listed piece is non-overlapping, so add their areas: 72 + 30 + 50 = 152 square inches.

Problem 2Difficulty: Mastery

After decomposing a stage carpet layout, the pieces are listed as: right triangle A: base 8 yards and height 11 yards; rectangle B: 12 yards by 7 yards; rectangle C: 5 yards by 13 yards. Which answer choice correctly uses the pieces and computes the total area?

AAdd all pieces except the last one; total area = 44 + 84 = 128 square yards.

BTreat the triangle as a rectangle instead of using 1/2; total area = 237 square yards.

CAdd the areas of all listed pieces; total area = 44 + 84 + 65 = 193 square yards.

DUse only the largest piece; total area = 84 square yards.

Solution & Explanation:Each listed piece is non-overlapping, so add their areas: 44 + 84 + 65 = 193 square yards.

Problem 3Difficulty: Mastery

After decomposing a courtyard paving plan, the pieces are listed as: rectangle A: 16 meters by 5 meters; right trapezoid B: top base 6 meters, bottom base 14 meters, height 6 meters; right triangle C: base 9 meters and height 4 meters. Which answer choice correctly uses the pieces and computes the total area?

AAdd all pieces except the last one; total area = 80 + 60 = 140 square meters.

BTreat the triangle as a rectangle instead of using 1/2; total area = 176 square meters.

CUse only the largest piece; total area = 80 square meters.

DAdd the areas of all listed pieces; total area = 80 + 60 + 18 = 158 square meters.

Solution & Explanation:Each listed piece is non-overlapping, so add their areas: 80 + 60 + 18 = 158 square meters.

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Frequently Asked Questions

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QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Grade 6 Math students. It aligns with educational standard 6.G.A.1 (Find Area of Composite Figures by Decomposing into Simpler Shapes).