Free Printable WorksheetMathGrade 4Math Curriculum4.MD.A.3

4.142 Relationship Between Area and Perimeter Worksheet

Download our free printable Grade 4 Math worksheet on 4.142 Relationship Between Area and Perimeter. Ideal for classroom practice, homeschool learning, independent homework, and standardized test preparation. Available in both print-ready PDF and editable DOCX formats.

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 4 Math worksheet provides structured practice on 4.142 Relationship Between Area and Perimeter. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

Given pairs of rectangles, select which pair has the same area, the same perimeter, or neither. (CCSS 4.MD.A.3; FL B.E.S.T. MA.4.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 4

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 4.142 Relationship Between Area and Perimeter skill assessments:

Problem 1Difficulty: Mastery
Which option shows the same perimeter but a different area?
ARectangles 42 by 30 and 35 by 36
BRectangles 33 by 46 and 46 by 33
CRectangles 41 by 44 and 43 by 41
DRectangles 50 by 26 and 48 by 28
Solution & Explanation:Both perimeters are 152 units, but the areas are 1300 and 1344 square units. That matches the requested relationship.
Problem 2Difficulty: Mastery
Which option shows the same area but a different perimeter?
ARectangles 31 by 34 and 34 by 31
BRectangles 36 by 41 and 38 by 39
CRectangles 48 by 20 and 40 by 24
DRectangles 45 by 27 and 43 by 29
Solution & Explanation:Both areas are 960 square units, but the perimeters are 136 and 128 units. That matches the requested relationship.
Problem 3Difficulty: Mastery
Which option shows a rotated rectangle, so both area and perimeter match?
ARectangles 28 by 47 and 30 by 45
BRectangles 44 by 23 and 23 by 44
CRectangles 36 by 30 and 40 by 27
DRectangles 39 by 22 and 37 by 24
Solution & Explanation:Both rectangles have area 1012 square units and perimeter 134 units. That matches the requested relationship.

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Frequently Asked Questions

Common questions about printing, using, and solving this worksheet

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QIs this 4.142 Relationship Between Area and Perimeter 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 4 Math students. It aligns with educational standard 4.MD.A.3 (Primary standard selected for prompt fields in this prompt cell: CCSS 4.MD.A.3. Skill statement in this prompt cell: Given pairs of rectangles, select which pair has the same area, the same perimeter, or neither. Associated standards listed with this skill in this prompt cell: CCSS 4.MD.A.3; FL B.E.S.T. MA.4.GR.2.2. Use this prompt-provided wording as the supporting standard description for this workflow.).

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