Free Printable WorksheetMathGrade 6Math Curriculum6.G.A.3

6.91 Use Coordinates to Find Perimeter and Area of Rectangles on the Coordinate Plane Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 6 Math worksheet provides structured practice on 6.91 Use Coordinates to Find Perimeter and Area of Rectangles on the Coordinate Plane. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

Which answer choice correctly uses the coordinates to find the rectangle's perimeter or area? (CCSS 6.G.A.3; CA 6.G.A.3; MA 6.G.A.3; NY NY-6.G.3; FL MA.6.GR.1.3; VA 6.MG.3f)

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 6.91 Use Coordinates to Find Perimeter and Area of Rectangles on the Coordinate Plane skill assessments:

Problem 1Difficulty: Mastery

On a coordinate stage plan, rectangle MNOP has vertices M(-50, -9), N(0, -9), O(0, 0), P(-50, 0). Each grid unit represents 0.5 foot. Which answer choice correctly finds the actual perimeter?

Aperimeter = 50 x 9 x 0.5 = 225 feet

Bperimeter = 2(50 + 9) x 0.5 = 59 feet

Cperimeter = 2(50 + 9) = 118 feet

Dperimeter = (50 + 9) x 0.5 = 29.5 feet

Solution & Explanation:The grid side lengths are 50 and 9, so the grid perimeter is 2(50 + 9) = 118. Multiplying by 0.5 foot per grid unit gives 59 feet.

Problem 2Difficulty: Mastery

A rectangle on the coordinate plane is bounded by x = -39, x = 4, y = -17, and y = 9. Which answer choice correctly uses these coordinate lines to find its area?

Aarea = 2(43 + 26) = 138 square units

Barea = 43 + 26 = 69 square units

Carea = (4 - (-39)) x (9 - (-17)) = 43 x 26 = 1118 square units

Darea = 43 x (26 + 1) = 1161 square units

Solution & Explanation:The horizontal side length is 4 - (-39) = 43 units and the vertical side length is 9 - (-17) = 26 units. The area is 43 x 26 = 1118 square units.

Problem 3Difficulty: Mastery

Two coordinate-plane rectangles are shown by their vertices. Rectangle UVWX: U(-45, 8), V(3, 8), W(3, 22), X(-45, 22). Rectangle YZWX: Y(-50, 4), Z(-31, 4), W(-31, 51), X(-50, 51). Which answer choice correctly compares their areas?

AUVWX: 48 x 14 = 672; YZWX: 19 x 47 = 893; Rectangle YZWX has 221 more square units of area

BUVWX: 2(48 + 14) = 124; YZWX: 2(19 + 47) = 132; compare 124 and 132 as areas

CUVWX: 48 + 14 = 62; YZWX: 19 + 47 = 66; compare 62 and 66 as areas

DUVWX: 48 x (14+1) = 720; YZWX: 19 x 47 = 893; compare 720 and 893

Solution & Explanation:Find each width from x-coordinate differences and each height from y-coordinate differences. The areas are 672 and 893, so Rectangle YZWX has 221 more square units of area.

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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 6.G.A.3 (Use Coordinates to Find Perimeter and Area of Rectangles on the Coordinate Plane).