5.1

Perimeter and area

Cambridge IGCSE Mathematics (0580)  · Unit 5: Mensuration  · 10 flashcards

Perimeter and area is topic 5.1 in the Cambridge IGCSE Mathematics (0580) syllabus , positioned in Unit 5 — Mensuration , alongside Circles - circumference and area, Surface area and Volume.  In one line: Perimeter is the total distance around the outside of a 2D shape. Area is the amount of surface a 2D shape covers. Perimeter is measured in units of length (.

This topic is examined across Paper 1 (Core) or Paper 2 (Extended) — non-calculator — and Paper 3 (Core) or Paper 4 (Extended) — calculator.

The deck below contains 10 flashcards — 1 definition, 4 key concepts and 1 application card — covering the precise wording mark schemes reward.  Use the definition card to lock down command-word answers (define, state), then move on to the concept and application cards to handle explain, describe and compare questions.

Key definition

Perimeter. How is it different from area

Perimeter is the total distance around the outside of a 2D shape. Area is the amount of surface a 2D shape covers. Perimeter is measured in units of length (

Example: cm, m), while area is measured in square units (. cm², m²).

Questions this Perimeter and area deck will help you answer

Definition Flip

Define perimeter. How is it different from area?

Answer Flip

Perimeter is the total distance around the outside of a 2D shape. Area is the amount of surface a 2D shape covers. Perimeter is measured in units of length (

Example: cm, m), while area is measured in square units (. cm², m²).
Key Concept Flip

Calculate the perimeter of a rectangle with length 8 cm and width 5 cm.

Answer Flip

Perimeter of a rectangle = 2(length + width). So, perimeter = 2(8 cm + 5 cm) = 2(13 cm) = 26 cm.

Key Concept Flip

A square has an area of 49 cm². What is the length of one side?

Answer Flip

Area of a square = side². Therefore, side = √area. So, side = √49 cm² = 7 cm.

Key Concept Flip

How do you calculate the area of a triangle?

Answer Flip

Area of a triangle = (1/2) * base * height, where 'base' is the length of the base and 'height' is the perpendicular height from the base to the opposite vertex. For

Example: base = 6cm, height = 4cm then area = 0.5 * 6 * 4 = 12 cm²
Key Concept Flip

Explain how to find the area of a parallelogram.

Answer Flip

Area of a parallelogram = base * perpendicular height. Note that the height is the perpendicular distance between the base and the opposite side, not the length of the sloping side. For

Example: base = 10 cm, height = 5 cm then area = 10 * 5 = 50 cm²
Key Concept Flip

State the formula for the area of a trapezium.

Answer Flip

Area of a trapezium = (1/2) * (a + b) * h, where 'a' and 'b' are the lengths of the parallel sides and 'h' is the perpendicular distance between the parallel sides. For

Example: a= 5cm, b = 7cm, h = 3 cm then area = 0.5 * (5+7) * 3 = 18 cm²
Key Concept Flip

Describe how to find the perimeter of a compound shape.

Answer Flip

To find the perimeter of a compound shape, add up the lengths of all the outside edges. Make sure to find the lengths of any missing sides before calculating the perimeter by using the information given.

Key Concept Flip

A rectangular garden is 12 m long and 8 m wide. What is the area of the garden in square meters?

Answer Flip

Area of a rectangle = length * width. So, area = 12 m * 8 m = 96 m².

Key Concept Flip

A farmer wants to fence a square field with sides of length 50 m. How much fencing material is needed?

Answer Flip

Fencing material needed is equal to the perimeter. Perimeter of a square = 4 * side. So, fencing = 4 * 50 m = 200 m.

Key Concept Flip

A shape is made up of a rectangle and a triangle. The rectangle has dimensions 6 cm by 4 cm, and the triangle has a base of 4 cm and a height of 3 cm. Calculate the total area of the shape.

Answer Flip

Area of rectangle = 6cm*4cm = 24cm². Area of triangle = 0.5 * 4cm * 3cm = 6cm². Total area = 24 cm² + 6 cm² = 30 cm².

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4.10 Pythagoras theorem 5.2 Circles - circumference and area

Key Questions: Perimeter and area

Define perimeter. How is it different from area?

Perimeter is the total distance around the outside of a 2D shape. Area is the amount of surface a 2D shape covers. Perimeter is measured in units of length (

Example: cm, m), while area is measured in square units (. cm², m²).

Tips to avoid common mistakes in Perimeter and area

More topics in Unit 5 — Mensuration

Perimeter and area sits alongside these Mathematics decks in the same syllabus unit. Each uses the same spaced-repetition system, so progress in one informs the next.

5.2 Circles - circumference and area

9 flashcards
5.3 Surface area

10 flashcards
5.4 Volume

9 flashcards

Cambridge syllabus keywords to use in your answers

These are the official Cambridge 0580 terms tagged to this section. Mark schemes credit responses that use the exact term — weave them into your answers verbatim rather than paraphrasing.

perimeter area rectangle triangle parallelogram trapezium compound shape square units cm2 m2

Key terms covered in this Perimeter and area deck

Every term below is defined in the flashcards above. Use the list as a quick recall test before your exam — if you can't define one of these in your own words, flip back to that card.

Perimeter. How is it different from area

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How to study this Perimeter and area deck

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