Free Printable WorksheetMathGrade 6Math Curriculum§111.26(b)(8)(B)

6.82 Find Area of Parallelograms and Trapezoids by Decomposing and Rearranging Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 6 Math worksheet provides structured practice on 6.82 Find Area of Parallelograms and Trapezoids by Decomposing and Rearranging. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

Which answer choice correctly finds the area of the parallelogram or trapezoid using base and height? (TX 19 TAC §111.26(b)(8)(B); VA 6.MG.2a; CCSS 6.G.A.1 (Parallelogram), 7.G.B.6 (Trapezoid Extension); FL MA.6.GR.2.2)

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 6.82 Find Area of Parallelograms and Trapezoids by Decomposing and Rearranging skill assessments:

Problem 1Difficulty: Mastery

A planned decomposition diagram shows a trapezoid split into a 10-foot by 8-foot rectangle and two right triangles with bases 3 feet and 5 feet. The trapezoid bases are 10 feet and 18 feet, and the height is 8 feet. Which answer choice correctly finds the total area?

A(10 + 18) * 8 = 224 square feet

B18 * 8 = 144 square feet

C(10 + 18) / 2 + 8 = 22 square feet

D(10 + 18) * 8 / 2 = 112 square feet

Solution & Explanation:Two congruent trapezoids can make a parallelogram, so area = (base 1 + base 2) * height / 2. (10 + 18) * 8 / 2 = 112 square feet.

Problem 2Difficulty: Mastery

A planned diagram shows a parallelogram with base 18.4 inches, dashed height 6.75 inches, and slanted side 8.1 inches. Which answer choice correctly finds the area?

A18.4 + 6.75 = 25.15 square inches

B18.4 * 8.1 = 149.04 square inches

C18.4 * 6.75 = 124.2 square inches

D18.4 * 6.75 / 2 = 62.1 square inches

Solution & Explanation:A parallelogram can be rearranged into a rectangle with the same base and perpendicular height. Use the height, not the slanted side: 18.4 * 6.75 = 124.2 square inches.

Problem 3Difficulty: Mastery

A trapezoid-shaped park section has bases of 4.8 meters and 14.2 meters and a height of 9.5 meters. Which answer choice correctly finds its area?

A(4.8 + 14.2) * 9.5 = 180.5 square meters

B(4.8 + 14.2) * 9.5 / 2 = 90.25 square meters

C14.2 * 9.5 = 134.9 square meters

D(4.8 + 14.2) / 2 + 9.5 = 19 square meters

Solution & Explanation:Two congruent trapezoids can make a parallelogram, so area = (base 1 + base 2) * height / 2. (4.8 + 14.2) * 9.5 / 2 = 90.25 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 §111.26(b)(8)(B) (Find Area of Parallelograms and Trapezoids by Decomposing and Rearranging).