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Grade 4 Geometry Worksheets — Area, Perimeter and Angles

Fourth grade adds two big ideas to the geometry a child already has: area as a measure of covering, and angles as a measure of turn. Grade 4 spreads the work across seven separate sheets: Perimeter, Area of Rectangles, Naming Angles, 2D Shape Properties, 3D Solids, Symmetry and Coordinates. Six of the seven print a picture, in every case because the question is about the picture. Perimeter and Area of Rectangles draw the shape to scale and write a measurement against each side it needs, so reading a length off a shape is part of the work; 2D Shape Properties draws the polygon it asks you to name, most of them irregular, because a child who recognises only the neat ones has learnt a picture rather than a property; and Symmetry’s first level draws the shape whose folds are being counted. Only 3D Solids is written entirely in words. Coordinates gives every question its own numbered grid with the points marked on it rather than written in the sentence. Symmetry's third level shades half a pattern on squared paper and draws the mirror line it folds on, and the number of squares is there to be counted rather than stated. Naming Angles draws the angle: at this grade every one sits at least ten degrees clear of a square corner, so "clearly sharper" or "clearly wider" is a judgement a child makes by eye — which is what naming an angle means, and what a printed number would have done for them.

Area of Rectangles runs from Rectangles and squares, to Larger measurements, to Find a side from the area. Naming Angles asks a child to look at a drawn angle and say whether it is acute, right or obtuse. Choose the sheet and the level, set the count, and add the answer key with a single tick before printing.

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Geometry · Grade 4

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SkillEach skill is a different kind of question, with its own levels.
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Grade 4 · 4 pages · A4

Geometry Practice

Grade 4 • Perimeter • Triangles and other polygons
Name:Date:

Find the perimeter of each shape.

  1. 1) Find the perimeter of this triangle.
    Answer:
    9.5 cm6.5 cm6.5 cm
  1. 2) Find the perimeter of this regular heptagon.
    Answer:
    6.5 cm
  1. 3) Find the perimeter of this regular octagon.
    Answer:
    8.5 cm
  1. 4) Find the perimeter of this shape.
    Answer:
    15.5 cm13 cm10.5 cm12 cm
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Page 1 of 4

Find the perimeter of each shape. (continued)

  1. 5) Find the perimeter of this shape.
    Answer:
    15.5 cm17 cm7.5 cm15 cm
  1. 6) Find the perimeter of this square.
    Answer:
    15.5 cm15.5 cm15.5 cm15.5 cm
  1. 7) Find the perimeter of this triangle.
    Answer:
    13.5 cm8.5 cm12.5 cm
  1. 8) Find the perimeter of this shape.
    Answer:
    12.5 cm10 cm6.5 cm8 cm
  1. 9) Find the perimeter of this square.
    Answer:
    17.5 cm17.5 cm17.5 cm17.5 cm
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Page 2 of 4

Find the perimeter of each shape. (continued)

  1. 10) Find the perimeter of this triangle.
    Answer:
    17.5 cm7.5 cm14.5 cm
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Page 3 of 4

Answer Key

  1. 1. 22.5 cm
  2. 2. 45.5 cm
  3. 3. 68 cm
  4. 4. 51 cm
  1. 5. 55 cm
  2. 6. 62 cm
  3. 7. 34.5 cm
  4. 8. 37 cm
  1. 9. 70 cm
  2. 10. 39.5 cm
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Page 4 of 4

What each level generates

Grade 4 perimeter — the exact skill behind each difficulty setting, straight from the generator.

  1. Level 1Rectangles
  2. Level 2Triangles and other polygons
  3. Level 3Find a missing side

Grade levels follow the progression common to most English-language curricula — not one specific national curriculum. Every level shows exactly what it generates, so you can check the fit with your own program. See the full scope & sequence →

Area and perimeter without the mix-up

The single most common Grade 4 error is swapping area and perimeter, and it is a language problem more than a maths one. Perimeter is the distance around an edge, so it is measured in centimeters; area is the amount of surface covered, so it is measured in square centimeters. Tying the unit to the meaning — cm for a walk around the outside, cm² for tiles that cover the middle — fixes the mix-up faster than repeating the two formulas.

Area of Rectangles and Perimeter are separate sheets here, and neither ever asks for the other, so forcing the distinction is your job rather than the page's: print one of each and hand them over together. A student who can only get these right when a whole sheet asks the same question has not yet separated the two ideas. Find a side from the area exposes it fastest, because reversing a calculation is impossible without knowing which calculation you are reversing.

Classifying angles by comparison, not by protractor

Naming Angles draws the angle and asks whether it is acute, right or obtuse. At this grade the first two levels print no number at all — the wedge is marked with a question mark and the judgement is made by eye. That is deliberately a comparison exercise: the reference point is 90°, and everything is judged against it. Less than 90° is acute, exactly 90° is right, more than 90° up to a straight line is obtuse. Practising this by eye builds a mental benchmark that makes protractor work far more accurate later, because a student who estimates "that should be about 120°" will notice when the protractor is read from the wrong scale. Its third level is the one that prints a number, giving one angle so another can be worked out before it is named.

A quick way to check understanding: ask a student to invent one angle of each kind before starting the sheet. If they can produce 40°, 90° and 150° on demand, the sheet will take five minutes; if they cannot, spend those five minutes on the benchmark instead.

Frequently asked questions

▸What is the difference between area and perimeter?

Perimeter is the total distance around the outside of a shape and is measured in units such as cm. Area is how much surface the shape covers and is measured in square units such as cm². For a rectangle, perimeter is 2 × (length + width) and area is length × width.

▸How do you find the area of a rectangle in Grade 4?

Multiply the length by the width. A rectangle 8 cm long and 5 cm wide has an area of 8 × 5 = 40 cm². Area of Rectangles opens with small measurements so the focus stays on the idea, and its Larger measurements level raises them once the method is secure.

▸What are acute, right and obtuse angles?

An acute angle is smaller than 90°, a right angle is exactly 90°, and an obtuse angle is between 90° and 180°. Naming Angles draws the angle and asks which kind it is — unnumbered at the first two levels, so the judgement is made against the 90° benchmark by eye, before a protractor is ever picked up.

▸Can I print a Grade 4 geometry sheet without the answers?

Yes. Leave the answer key box unticked and the sheet prints as questions only. Tick it and the answers appear on their own page at the end, so you can hand out the questions and keep the key.

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