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

7.108 Area of composite figures Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 7 Math worksheet provides structured practice on 7.108 Area of composite figures. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

7.108 Area of composite figures - In multiple-choice items, students choose the correct total area of a composite figure and select which sub-areas should be added or subtracted. (CCSS 7.G.B.6; FL MA.7.GR.1.2; 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 7.108 Area of composite figures skill assessments:

Problem 1Difficulty: Mastery

A diagram of a courtyard tile plan uses an outer rectangle measuring 32 m by 18 m. A rectangular step cutout of 8 m by 5 m and a right triangular corner cutout with base 6 m and height 7 m are removed. A rectangle of 10 m by 3 m is attached on one side. Which choice identifies the sub-areas to add or subtract and the total area?

Aadd 8 × 5, (6 × 7) / 2, and 10 × 3 to 32 × 18; area = 667 square meters

Bsubtract 8 × 5 and (6 × 7) / 2 from 32 × 18, then add 10 × 3; area = 545 square meters

Csubtract 8 × 5 and 6 × 7 from 32 × 18, then add 10 × 3; area = 524 square meters

Dsubtract 8 × 5 from 32 × 18, then add (6 × 7) / 2 and 10 × 3; area = 587 square meters

Solution & Explanation:Start with the outer rectangle 576. Subtract the rectangular cutout 40 and the triangular cutout 21, then add the attached rectangle 30. The area is 545 square meters.

Problem 2Difficulty: Mastery

A diagram of an art studio floor uses an outer rectangle measuring 28 yd by 15 yd. A rectangular step cutout of 6 yd by 4 yd and a right triangular corner cutout with base 5 yd and height 5 yd are removed. A rectangle of 7 yd by 6 yd is attached on one side. Which choice identifies the sub-areas to add or subtract and the total area?

Aadd 6 × 4, (5 × 5) / 2, and 7 × 6 to 28 × 15; area = 498.5 square yards

Bsubtract 6 × 4 and 5 × 5 from 28 × 15, then add 7 × 6; area = 413 square yards

Csubtract 6 × 4 and (5 × 5) / 2 from 28 × 15, then add 7 × 6; area = 425.5 square yards

Dsubtract 6 × 4 from 28 × 15, then add (5 × 5) / 2 and 7 × 6; area = 450.5 square yards

Solution & Explanation:Start with the outer rectangle 420. Subtract the rectangular cutout 24 and the triangular cutout 12.5, then add the attached rectangle 42. The area is 425.5 square yards.

Problem 3Difficulty: Mastery

A diagram of a display backdrop uses an outer rectangle measuring 24 ft by 16 ft. A rectangular step cutout of 4 ft by 7 ft and a right triangular corner cutout with base 9 ft and height 3 ft are removed. A rectangle of 8 ft by 4 ft is attached on one side. Which choice identifies the sub-areas to add or subtract and the total area?

Aadd 4 × 7, (9 × 3) / 2, and 8 × 4 to 24 × 16; area = 457.5 square feet

Bsubtract 4 × 7 and 9 × 3 from 24 × 16, then add 8 × 4; area = 361 square feet

Csubtract 4 × 7 from 24 × 16, then add (9 × 3) / 2 and 8 × 4; area = 401.5 square feet

Dsubtract 4 × 7 and (9 × 3) / 2 from 24 × 16, then add 8 × 4; area = 374.5 square feet

Solution & Explanation:Start with the outer rectangle 384. Subtract the rectangular cutout 28 and the triangular cutout 13.5, then add the attached rectangle 32. The area is 374.5 square feet.

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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 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 choose the correct total area of a composite figure and select which sub-areas should be added or subtracted. Associated standards listed with this skill in this prompt cell: CCSS 7.G.B.6; FL MA.7.GR.1.2; TX 7.9(C). Use this prompt-provided wording as the supporting standard description for this workflow.).