MeasurementP6 level16 questions in the full course
A building block for the test. SEAG doesn't test this topic on its own, but questions on tested topics rely on it. If it's shaky, it's worth securing, without spending long on it.

Perimeter of Compound ShapesSEAG Practice Questions

Finding the perimeter of L-shapes and other compound rectilinear shapes by identifying and adding all outer edges.

Where your child meets this in real life: Measuring the boundary of an L-shaped room or calculating edging for an irregular garden

What your child needs to know

In the SEAG test

This topic isn't tested on its own, but it sits inside questions on tested topics. Each SEAG paper has 28 maths questions. Questions 29 to 50 are multiple choice with five possible answers, and questions 51 to 56 need a short written answer. With 56 questions in 60 minutes across English and maths, that is about a minute per question.

SEAGReady breaks perimeter of compound shapes into 2 steps, taught in order so each skill builds on the last.

  1. 1

    All Dimensions Given

    Find the perimeter of an L-shape or compound shape when all outer edge lengths are labelled

  2. 2

    Calculate Missing Dimensions

    Find the perimeter when some edge lengths must be calculated from given dimensions

Try these SEAG-style questions

Try three free questions from our perimeter of compound shapes course. They start easy and get harder, so you can see where your child's confidence runs out. If they manage the last one without a hint, this topic is probably secure. If not, the steps above show where to start.

Question 1Confidence builder

The diagram shows Dylan's L-shaped bedroom. He wants to put LED lights around its complete edge. What total length of lights does he need?

An L-shape with all six boundary segments labelled 4 m, 2 m, 2 m, 3 m, 6 m, 5 m.
Answer choices for question 1
Question 2Standard

The diagram shows an L-shaped swimming pool. What is its perimeter?

An L-shape with total length 20 m, total width 14 m, inner step 12 m by 8 m, and the two remaining boundary lengths marked unknown. Diagram not to scale.
Answer choices for question 2
Question 3Stretch

The diagram shows a stepped flower bed with all eight boundary lengths labelled. What is its perimeter?

An eight-edge stepped shape with boundary lengths 5 m, 2 m, 2 m, 2 m, 3 m, 3 m, 4 m and 7 m.
Answer choices for question 3

Try the lesson: All Dimensions Given

This is the exact interactive worked example your child sees in SEAGReady. Step through it and watch the method build up.

Molly's bedroom is an L-shape. She wants to put fairy lights around the edge of her room. All six walls are labelled: 8m, 3m, 5m, 4m, 3m, 7m.

What is the total length of fairy lights she needs?

8 + 3 + 5 + 4 + 3 + 7

Identify the outer edges
1

The perimeter is ONLY the outer boundary

Step 1 of 4

Prefer to read? See every step written out

Molly's bedroom is an L-shape. She wants to put fairy lights around the edge of her room. All six walls are labelled: 8m, 3m, 5m, 4m, 3m, 7m.

What is the total length of fairy lights she needs?

  1. 1

    Identify the outer edges

    • The perimeter is ONLY the outer boundary
    • Count the outer edges: there are 6 walls
  2. 2

    Add all the edges

    • Add systematically around the shape
    • Calculate the total8 + 3 + 5 + 4 + 3 + 7 = 30

Molly needs 30 metres of fairy lights.

The key insight: Perimeter means the OUTER boundary only - go all the way around the outside!

Common mix-up: Including internal lines in the count. Internal lines are not part of the perimeter - only count edges on the outside.

Mistakes to watch for

These are the misconceptions we see most often in perimeter of compound shapes, including the ones our practice questions are specifically designed to catch.

  • Including internal edges in the perimeter count
  • Missing hidden sides that need to be calculated from given dimensions

Build these skills first

Struggling with perimeter of compound shapes? The real gap is often in one of these earlier topics.

More measurement practice

Sitting the SEAG test this November? Read our last-month revision plan, Paper 1 vs Paper 2 and test day guide.

16 questions on this topic alone

Master perimeter of compound shapes and everything it unlocks

SEAGReady finds the exact step where your child gets stuck, teaches it with worked examples like the one above, and brings it back for review so it sticks.

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