Free Perimeter Worksheets (Grades 3-6)

Practice perimeter (Grades 3-6) with free printable PDF worksheets. 4 pre-packaged classroom sets with 100% verified step-by-step answer keys, plus an unlimited live customizer for teachers and homeschoolers.

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PanMaths.comPerimeter WorksheetsSet A (Standard)
Name: __________________________
Date: _____________ Period: ____
Score: _____ / 8
Directions: Solve each problem carefully. Show all intermediate work in the workspace provided.
1.square
s = 4 cm
Perimeter (P) =
2.square
s = 15 cm
Perimeter (P) =
3.rectangle
10 cm8 cm
Perimeter (P) =
4.rectangle
16 cm11 cm
Perimeter (P) =
5.rectangle
14 cm7 cm
Perimeter (P) =
6.square
s = 15 cm
Perimeter (P) =
7.rectangle
10 cm4 cm
Perimeter (P) =
8.square
s = 11 cm
Perimeter (P) =
9.rectangle
5 cm5 cm
Perimeter (P) =
10.rectangle
10 cm4 cm
Perimeter (P) =
PanMaths.com • Free Printable Math WorksheetsPage 1 of 2
PanMaths.comAnswer Key & Worked Solutions • Set A (Standard)
Answer Key
Total Problems: 10
Teacher & Parent Guide: Intermediate evaluation steps are provided for step-by-step grading and student self-correction.
1.square
s = 4 cm
Perimeter (P) =
16 cm
1. Identify Shape: Square (Side length = 4)
2. Perimeter Formula: P = 4 × Side = 4s
3. Substitute Values: P = 4 × 4
4. Total Perimeter: P = 16 ✅
2.square
s = 15 cm
Perimeter (P) =
60 cm
1. Identify Shape: Square (Side length = 15)
2. Perimeter Formula: P = 4 × Side = 4s
3. Substitute Values: P = 4 × 15
4. Total Perimeter: P = 60 ✅
3.rectangle
10 cm8 cm
Perimeter (P) =
36 cm
1. Identify Shape: Rectangle (Length = 10, Width = 8)
2. Perimeter Formula: P = 2 × (Length + Width) = 2l + 2w
3. Substitute Values: P = 2 × (10 + 8) = 2 × 18
4. Total Perimeter: P = 36 ✅
4.rectangle
16 cm11 cm
Perimeter (P) =
54 cm
1. Identify Shape: Rectangle (Length = 16, Width = 11)
2. Perimeter Formula: P = 2 × (Length + Width) = 2l + 2w
3. Substitute Values: P = 2 × (16 + 11) = 2 × 27
4. Total Perimeter: P = 54 ✅
5.rectangle
14 cm7 cm
Perimeter (P) =
42 cm
1. Identify Shape: Rectangle (Length = 14, Width = 7)
2. Perimeter Formula: P = 2 × (Length + Width) = 2l + 2w
3. Substitute Values: P = 2 × (14 + 7) = 2 × 21
4. Total Perimeter: P = 42 ✅
6.square
s = 15 cm
Perimeter (P) =
60 cm
1. Identify Shape: Square (Side length = 15)
2. Perimeter Formula: P = 4 × Side = 4s
3. Substitute Values: P = 4 × 15
4. Total Perimeter: P = 60 ✅
7.rectangle
10 cm4 cm
Perimeter (P) =
28 cm
1. Identify Shape: Rectangle (Length = 10, Width = 4)
2. Perimeter Formula: P = 2 × (Length + Width) = 2l + 2w
3. Substitute Values: P = 2 × (10 + 4) = 2 × 14
4. Total Perimeter: P = 28 ✅
8.square
s = 11 cm
Perimeter (P) =
44 cm
1. Identify Shape: Square (Side length = 11)
2. Perimeter Formula: P = 4 × Side = 4s
3. Substitute Values: P = 4 × 11
4. Total Perimeter: P = 44 ✅
9.rectangle
5 cm5 cm
Perimeter (P) =
20 cm
1. Identify Shape: Rectangle (Length = 5, Width = 5)
2. Perimeter Formula: P = 2 × (Length + Width) = 2l + 2w
3. Substitute Values: P = 2 × (5 + 5) = 2 × 10
4. Total Perimeter: P = 20 ✅
10.rectangle
10 cm4 cm
Perimeter (P) =
28 cm
1. Identify Shape: Rectangle (Length = 10, Width = 4)
2. Perimeter Formula: P = 2 × (Length + Width) = 2l + 2w
3. Substitute Values: P = 2 × (10 + 4) = 2 × 14
4. Total Perimeter: P = 28 ✅
PanMaths.com • Answer Key & SolutionsPage 2 of 2
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Every generated sheet includes student name, date, score lines, and a complete answer key!

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1. Set Options & Count

Select difficulty (Easy, Medium, Hard) and choose your exact problem count (8, 12, 16, or 20 problems per sheet).

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2. Generate & Review

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Print clean 8.5"×11" pages. Includes a detachable verified answer key for 1-minute grading or student self-checking!

What Every Sheet Includes: Name & Date headers, organized problem numbering, ample student write-in workspace, and a step-by-step verified grading key!
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Quick 5-minute timed drills to start math class with focus.
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Explore Interactive Tools for Perimeter Worksheets

Master this math concept across all PanMaths learning verticals:

Worksheet Info

Categorygeometry
Grade LevelGrades 3-6
DifficultyCustomizable
Time10-15 minutes

Skills Practiced

  • Math fluency
  • Mental math speed
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Strategies

  • Formula Substitution: Identify dimensions and plug into standard shortcuts (e.g. P = 2l + 2w).
  • Side-Checking Sweep: Check off each side length clockwise to avoid skipping or double-counting edges.
  • Regular Scaling: For shapes with equal sides (equilateral triangles, regular hexagons), multiply side length by number of vertices.

Worksheet Facts by Grade Level

Grade LevelCommon Core StandardTarget Operations & ComplexityRecommended Drills
Grade 3CCSS.MATH.CONTENT.3.MD.D.8Solve real world problems involving perimeters of polygons, including finding unknown side lengthsSet A (Rectangles & Squares)
Grade 4CCSS.MATH.CONTENT.4.MD.A.3Apply the area and perimeter formulas for rectangles in real world and mathematical problemsSet A & Set B (Triangles)
Grade 5CCSS.MATH.CONTENT.5.NF.B.4Find perimeters of regular polygons and composite 2D geometric shapesSet C & Set D (Timed Sprint)
Grade 6CCSS.MATH.CONTENT.6.G.A.1Solve geometric problems involving polygon perimeters and coordinate geometrySet C & Unlimited Studio custom drills

What is Perimeter? The 1-Dimensional Boundary Rule

The perimeter (P) of any 2-dimensional geometric figure is the total continuous distance around its outer boundary:

  1. 1. Linear Summation: For any straight-edged polygon, perimeter is calculated by adding the lengths of all outer sides (P = Side 1 + Side 2 + ... + Side n).
  2. 2. Linear Units: Because perimeter measures continuous length, it is always expressed in standard linear units (cm, m, km, in, ft, yd), never squared units.
  3. 3. Opposite Congruence: In rectangles and parallelograms, opposite sides are equal in length, allowing the simplified formula P = 2l + 2w.

Master Perimeter Formula Reference Table

Geometric Shape Perimeter Formula Example Calculation
Square P = 4 × s Side = 7 cm → P = 4 × 7 = 28 cm
Rectangle P = 2(l + w) Length 12 m, Width 5 m → P = 2(17) = 34 m
Triangle P = a + b + c Sides 6, 8, 10 ft → P = 6 + 8 + 10 = 24 ft
Regular Hexagon P = 6 × s Side = 9 cm → P = 6 × 9 = 54 cm

Real-World Applications: Fences, Borders, and Architecture

Understanding perimeter is essential for everyday trade and design calculations:

  • Construction & Fencing: Finding the exact linear footage of timber or chain-link needed to enclose a backyard.
  • Interior Design: Calculating baseboard molding, crown molding, or ribbon trim around rectangular rooms.
  • Athletics: Measuring running tracks and court boundaries (e.g. soccer pitches and tennis courts).
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Benefits of Mastery

📐 Geometry Fluency

Master perimeter calculation across all standard 2D shapes and polygons.

📏 Dimension Scaffolding

Clear scaffolding from basic squares to multi-sided regular polygons.

🎯 CCSS Standard Aligned

Directly targets Common Core standards 3.MD.D.8 and 4.MD.A.3.

✅ Step-by-Step Answer Keys

Every generated PDF includes full formula substitution and summation steps.

Frequently Asked Questions

What is the formula for the perimeter of a rectangle?

The perimeter of a rectangle is P = 2 × (Length + Width) or P = 2l + 2w. You add the length and width together and multiply by 2.

What is the difference between perimeter and area?

Perimeter is the 1-dimensional distance around the outside edge of a shape (measured in cm, m, ft). Area is the 2-dimensional space enclosed inside the shape (measured in cm², m², ft²).

Are step-by-step formula breakdowns included in the answer key?

Yes. Every generated PDF includes an answer key detailing the geometric formula, substituted values, and final linear perimeter.

Can I generate unlimited fresh perimeter practice sheets?

Yes. You can switch between Sets A, B, C, and D on the showcase page or launch the Studio to generate unlimited randomized worksheets.