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Area and perimeter worksheet generator

Mix rectangle, square, and right-triangle questions while keeping every measurement in one unit. Before calculating, ask the learner to mark whether the question is about the boundary, the covered surface, or a missing side.

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Geometry practice

Right triangles practise area. Composite L-shapes support area and perimeter.

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Name: ____________________Date: ____________________
1.A square has sides of 28 m. Find its area.
2.A rectangle has an area of 442 m² and one side of 17 m. Find the other side.
3.A square has sides of 10 cm. Find its perimeter.
4.A rectangle is 11 cm by 25 cm. Find its perimeter.
5.A rectangle has an area of 800 m² and one side of 16 m. Find the other side.
6.A square has sides of 37 cm. Find its perimeter.
7.A rectangle is 3 cm by 47 cm. Find its perimeter.
8.A rectangle is 42 m by 47 m. Find its perimeter.
9.A square has sides of 34 m. Find its perimeter.
10.A rectangle is 12 cm by 49 cm. Find its area.
11.A rectangle is 46 cm by 18 cm. Find its perimeter.
12.A rectangle is 23 cm by 12 cm. Find its area.
13.A rectangle is 28 m by 14 m. Find its area.
14.A square has sides of 20 m. Find its perimeter.
15.A square has sides of 30 cm. Find its area.
16.A square has sides of 10 cm. Find its area.
17.A rectangle is 18 m by 37 m. Find its area.
18.A square has sides of 31 m. Find its perimeter.
19.A square has sides of 29 cm. Find its area.
20.A square has sides of 15 cm. Find its perimeter.
Answer key
1. A square has sides of 28 m. Find its area.28 × 28 = 784 m²784 m²
2. A rectangle has an area of 442 m² and one side of 17 m. Find the other side.442 m² ÷ 17 m = 26 m26 m
3. A square has sides of 10 cm. Find its perimeter.4 × 10 = 40 cm40 cm
4. A rectangle is 11 cm by 25 cm. Find its perimeter.2 × (11 + 25) = 72 cm72 cm
5. A rectangle has an area of 800 m² and one side of 16 m. Find the other side.800 m² ÷ 16 m = 50 m50 m
6. A square has sides of 37 cm. Find its perimeter.4 × 37 = 148 cm148 cm
7. A rectangle is 3 cm by 47 cm. Find its perimeter.2 × (3 + 47) = 100 cm100 cm
8. A rectangle is 42 m by 47 m. Find its perimeter.2 × (42 + 47) = 178 m178 m
9. A square has sides of 34 m. Find its perimeter.4 × 34 = 136 m136 m
10. A rectangle is 12 cm by 49 cm. Find its area.12 × 49 = 588 cm²588 cm²
11. A rectangle is 46 cm by 18 cm. Find its perimeter.2 × (46 + 18) = 128 cm128 cm
12. A rectangle is 23 cm by 12 cm. Find its area.23 × 12 = 276 cm²276 cm²
13. A rectangle is 28 m by 14 m. Find its area.28 × 14 = 392 m²392 m²
14. A square has sides of 20 m. Find its perimeter.4 × 20 = 80 m80 m
15. A square has sides of 30 cm. Find its area.30 × 30 = 900 cm²900 cm²
16. A square has sides of 10 cm. Find its area.10 × 10 = 100 cm²100 cm²
17. A rectangle is 18 m by 37 m. Find its area.18 × 37 = 666 m²666 m²
18. A square has sides of 31 m. Find its perimeter.4 × 31 = 124 m124 m
19. A square has sides of 29 cm. Find its area.29 × 29 = 841 cm²841 cm²
20. A square has sides of 15 cm. Find its perimeter.4 × 15 = 60 cm60 cm
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What this worksheet practises

  • Distinguish perimeter from area before choosing a formula
  • Apply area and perimeter formulas to rectangles, squares, and triangles
  • Keep units consistent and write answers with the correct unit

What appears on the sheet

  • Easy works with rectangles and squares with whole side lengths from 2 to 20; medium and hard extend to 50.
  • Medium adds missing-side questions where the area divides exactly by the given side.
  • Hard adds right triangles whose legs are chosen so the area is always a whole number; each question uses one unit (m or cm) consistently.
  • Every answer is exact and carries its unit: m/cm for lengths and perimeters, m²/cm² for areas.

Make a sheet in three steps

Choose the level and question count, generate the sheet, then print or download it. Keep the seed if you want exactly the same questions again.

Algorithms

Choose a method for this problem type

CategoryGeometry and measurement · rectangles
Problem patternDistinguishing area from perimeter
Worked example8 m by 5 m: area 40 m², perimeter 26 m

How to recognize it

  • Area measures the covered surface in square units.
  • Perimeter measures the boundary in length units.
8 m5 m
An eight-by-five rectangular grid with its outer boundary highlighted.
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Visual model

Tile and count

Best for: Building the meaning of area

Cover the rectangle with equal unit squares.

  1. Make 8 columns and 5 rows.
  2. Each cell is 1 square metre.
  3. 5 rows of 8 give 40 square metres.

Trade-off: Grounds the formula in a model; counting individual cells is unnecessary once structure is understood.

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Written algorithm

Use formulas by quantity

Best for: Efficient calculation after identifying what is asked

Choose multiplication for covered surface and add all sides for boundary length.

  1. Area: 8 × 5 = 40 m².
  2. Perimeter: 8 + 5 + 8 + 5.
  3. Combine equal sides: 2 × (8 + 5) = 26 m.

Trade-off: Fast and general; choosing the formula before naming the quantity causes common errors.

Check the resultCheck units: area needs m²; perimeter needs m. The perimeter must exceed the length of any one side.

Standards

Grade and standards reference

These mappings are planning references, not certification of curriculum alignment.

Area and perimeterGrades 3, 4, 5, 6CCSS 3.MD–6.G
AnglesGrades 4, 5, 6CCSS 4.MD.C.5–7
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Teaching notes

  • Have learners sketch and label the shape before calculating.
  • Ask whether an answer is a length or a covered surface before writing the unit.
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Questions teachers and parents ask

How do you find the area of a rectangle?

Multiply the length by the width and attach the square unit: a rectangle 8 m by 5 m has an area of 40 m². The generated questions keep every measurement in one unit for the whole question.

How should I choose a geometry question type?

Begin with rectangles and squares. Use area-only or perimeter-only questions while the formulas are new, then mix them. Choose missing sides or L-shapes when the learner can explain the basic calculations.

How do you find the area of a right triangle?

Multiply the two legs and divide by 2: legs of 6 cm and 4 cm give an area of 12 cm². Generated legs are chosen so the area is always a whole number.

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Teach the idea, then practise it

Learning goals

  • Distinguish perimeter as a length around a shape from area as the amount of surface covered.
  • Choose and apply formulas for rectangles, squares, and right triangles.
  • Keep units consistent and label answers with the correct unit.

Quick understanding checks

  • The perimeter of a rectangle exceeds each side length.
  • The area of a rectangle is larger than the product of rounding each side down.

Suggested teaching progression

  1. Cover and countTile rectangles with unit squares to ground the meaning of area.
  2. StructureConnect counting to the multiplication formula and partition composite shapes.
  3. ApplySolve missing-side and triangle questions, then estimate to check plausibility.

Common misconceptions and responses

Area and perimeter formulas are applied interchangeably.

Sketch the shape, mark the boundary for perimeter and the covered surface for area, and name what each measures before calculating.

A unit is omitted or mixed within one question.

Write the unit after every measurement and convert all sides to the same unit before any calculation.

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Curriculum and teaching references

These external sources provide curriculum context or evidence-informed teaching guidance. They do not endorse this generator, and local curriculum requirements should take priority.

Content reviewExplanations and examples reviewed 9 October 2026. Found a problem? Send a correction

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Focused worksheet sets

Area and perimeter worksheetsPrint free area and perimeter worksheets for grades 3–6, including missing sides, triangles, and composite L-shapes, with worked answers.Classifying angles worksheetsCreate 20 printable questions that ask whether a measured angle is acute, right, or obtuse.
Visual guides

Review a method before practising

Area or perimeter: how to tell which one you need→Find a missing side from area or perimeter→How to find the area of a composite shape→Why is triangle area divided by two?→Length units and square units are not the same→
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