Free Printable WorksheetMathGeometryMath CurriculumG-GPE.B.7

GEO.141 Use coordinates to compute perimeter and area Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Geometry Math worksheet provides structured practice on GEO.141 Use coordinates to compute perimeter and area. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

GEO.141 Use coordinates to compute perimeter and area - Primary standard selected for prompt fields in this prompt cell: CCSS G-GPE.B.7. Skill statement in this prompt cell: Select the correct method and compute the perimeter or area of a polygon from its coordinates. Associated standards listed with this skill in the curriculum source: CCSS G-GPE.B.7; FL MA.912.GR.3.4; MA G-GPE.B.7; NY GEO G.G-GPE.B.7. Use this prompt-provided wording as the supporting standard description for this workflow.

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

Geometry

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 GEO.141 Use coordinates to compute perimeter and area skill assessments:

Problem 1Difficulty: Mastery
A hexagon has ordered vertices (-4, 0), (-2, 3), (2, 3), (5, 0), (2, -3), and (-2, -2). Which pair of measurements is correct?
AArea 36 square units and perimeter 4 + 8sqrt(2) + sqrt(13) + sqrt(17) units
BArea 72 square units and perimeter 4 + 8sqrt(2) + sqrt(13) + sqrt(17) units
CArea 36 square units and perimeter 12 + sqrt(13) + sqrt(17) units
DArea 30 square units and perimeter 8sqrt(2) + 2sqrt(13) units
Solution & Explanation:Shoelace gives area 36 square units. The side lengths around the hexagon are sqrt(13), 4, 3sqrt(2), 3sqrt(2), sqrt(17), and 2sqrt(2), so the perimeter is 4 + 8sqrt(2) + sqrt(13) + sqrt(17) units.
Problem 2Difficulty: Mastery
A polygon drawn on a coordinate grid has area 18 square grid units. Each grid unit represents 2 yards in both directions. What is the actual area?
A36 square yards
B54 square yards
C72 square yards
D144 square yards
Solution & Explanation:One square grid unit represents 2 yards by 2 yards, or 4 square yards. Actual area = 18 x 4 = 72 square yards.
Problem 3Difficulty: Mastery
A polygon's coordinate units represent feet. Which unit description is correct after computing its perimeter and area?
APerimeter is in feet and area is in square feet.
BBoth perimeter and area are in square feet.
CPerimeter is in square feet and area is in feet.
DNeither measurement needs units because coordinates have no units.
Solution & Explanation:Perimeter measures length around the boundary, so it uses feet. Area measures two-dimensional space, so it uses 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 Geometry Math students. It aligns with educational standard G-GPE.B.7 (Primary standard selected for prompt fields in this prompt cell: CCSS G-GPE.B.7. Skill statement in this prompt cell: Select the correct method and compute the perimeter or area of a polygon from its coordinates. Associated standards listed with this skill in the curriculum source: CCSS G-GPE.B.7; FL MA.912.GR.3.4; MA G-GPE.B.7; NY GEO G.G-GPE.B.7. Use this prompt-provided wording as the supporting standard description for this workflow.).

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