Free Printable WorksheetMathGrade 7Math Curriculum7.G.B.6

7.107 Area formulas for common polygons Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 7 Math worksheet provides structured practice on 7.107 Area formulas for common polygons. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

7.107 Area formulas for common polygons - In multiple-choice items, students select the correct area for a given polygon and choose the decomposition or formula that matches the figure. (CCSS 7.G.B.6; FL MA.7.GR.1.1; TX 7.9(C))

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 7

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 7.107 Area formulas for common polygons skill assessments:

Problem 1Difficulty: Mastery
The diagram shows a 20 by 14 bounding rectangle. A right triangle with base 8 and height 14 and a 6 by 5 rectangle are removed. What is the remaining area?
A164 square units
B250 square units
C224 square units
D194 square units
Solution & Explanation:The bounding rectangle area is 20 × 14 = 280. Remove the triangle area, 1/2 × 8 × 14 = 56, and the rectangle area, 6 × 5 = 30. The remaining area is 194 square units.
Problem 2Difficulty: Mastery
A design is made from two identical trapezoids and one rectangle. Each trapezoid has bases 9 and 15 and height 4. The rectangle is 15 by 6. What is the total area?
A96 square units
B138 square units
C234 square units
D186 square units
Solution & Explanation:Each trapezoid has area 1/2 × (9 + 15) × 4 = 48, so two are 96. The rectangle area is 15 × 6 = 90. Total area is 186 square units.
Problem 3Difficulty: Mastery
The diagram shows a parallelogram with base 13 and height 11 attached to a triangle with base 5 and height 11. What is the total area?
A198 square units
B170.5 square units
C143 square units
D115.5 square units
Solution & Explanation:The parallelogram area is 13 × 11 = 143. The triangle area is 1/2 × 5 × 11 = 27.5. Total area is 170.5 square units.

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Frequently Asked Questions

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QIs this 7.107 Area formulas for common polygons worksheet free for teachers and homeschoolers?

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QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Grade 7 Math students. It aligns with educational standard 7.G.B.6 (Primary standard selected for prompt fields in this prompt cell: CCSS 7.G.B.6. Skill statement in this prompt cell: In multiple-choice items, students select the correct area for a given polygon and choose the decomposition or formula that matches the figure. Associated standards listed with this skill in this prompt cell: CCSS 7.G.B.6; FL MA.7.GR.1.1; TX 7.9(C). Use this prompt-provided wording as the supporting standard description for this workflow.).

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