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§ Geometry·Grades 3–6

Area & Perimeter Worksheets

Free PDF · Problems + answer key · Instant download

Easy

10 problems

Medium

20 problems

Hard

20 problems

Mixed

30 problems

Free printable area & perimeter worksheets with step-by-step answer keys. Every worksheet is uniquely generated so students never see the same problems twice. Topics covered range from rectangle area (l × w) at the easy level through to composite shapes, pythagorean for perimeter at the advanced level.

CCSS.3.MDCCSS.6.G

What is area & perimeter?

Area quantifies the two-dimensional space enclosed within a shape's boundaries, measured in square units like square inches or square feet. Perimeter represents the total distance around a shape's outer edge, measured in linear units like inches or feet. These fundamental geometric measurements apply to rectangles, triangles, circles, and composite shapes.

Why it matters

Area and perimeter calculations appear throughout construction, landscaping, and interior design. A homeowner planning to fence a rectangular backyard measuring 25 feet by 40 feet needs the perimeter (130 feet) to buy fencing materials and the area (1,000 square feet) to estimate grass seed coverage. Architects use these measurements to determine room sizes, flooring materials, and building costs. In manufacturing, engineers calculate surface areas for material usage and perimeters for cutting specifications. These concepts build toward advanced geometry topics including surface area, volume, and coordinate geometry. Students encounter area and perimeter problems in CCSS 3.MD standards, progressing from counting unit squares to applying formulas for various shapes.

Common mistakes to watch for

  • ✗Confusing area and perimeter units leads to answers like 24 square feet for perimeter instead of 24 feet, mixing square units with linear measurements.
  • ✗Calculating rectangle area as 2(length + width) instead of length × width produces incorrect results like 2(5 + 8) = 26 instead of 40.
  • ✗Using diameter instead of radius in circle formulas gives area = π(10)² = 314 instead of π(5)² = 78.5 when radius is 5.

Questions teachers ask

What is the difference between area and perimeter?+
Area measures the space inside a shape using square units like square feet, while perimeter measures the distance around a shape's boundary using linear units like feet. A 4×6 rectangle has area 24 square feet and perimeter 20 feet.
How do you find the area of a triangle?+
Triangle area equals half the base times height: A = ½ × base × height. For a triangle with base 8 and height 6, the area is ½ × 8 × 6 = 24 square units. The height must be perpendicular to the base.
What is the formula for circle circumference?+
Circle circumference (perimeter) equals 2π times radius: C = 2πr. For a circle with radius 4, circumference is 2π(4) = 8π ≈ 25.1 units. Circumference can also be calculated as πd where d is diameter.
How do you check area and perimeter answers?+
Verify units match the measurement type: square units for area, linear units for perimeter. Check formulas against known examples like a 3×4 rectangle having area 12 and perimeter 14. Estimate reasonableness by comparing to familiar objects.
Can perimeter and area have the same number?+
Yes, though with different units. A 4×4 square has area 16 square units and perimeter 16 units. However, these represent different measurements: 16 square feet of space versus 16 feet of boundary distance.
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Pick a difficulty

Click any level to open the generator with that difficulty pre-selected.

Beginner

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Concepts
Rectangle area (l × w)
Range
sides 2–5
Steps
1 step
Example
Area of 3 × 4 rectangle

Easy

Generate →
Concepts
Rectangle area/perimeter, triangle area
Range
sides 3–12
Steps
1–2 steps
Example
Perimeter of 7 × 9 rectangle

Medium

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Concepts
Rectangle, triangle, circle area/perimeter
Range
sides 5–20
Steps
2 steps
Example
Area of circle r = 15

Hard

Generate →
Concepts
Composite shapes, Pythagorean for perimeter
Range
sides 8–30
Steps
2–3 steps
Example
Perimeter of right triangle 12, 16

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