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GCSE Geometry

Perimeter and Area

Learn perimeter and area as part of reason with measures, constructions, shape properties, angles, transformations, trigonometry, vectors and proof.

Key idea

Mark the diagram, name the fact you are using, and calculate from known angles, lengths or measures.

What you will learn

Use perimeter and area meaning confidently.
Use perimeter and area representations confidently.
Use perimeter and area methods confidently.
Use perimeter and area applications confidently.

Success checklist

I can explain what perimeter and area means.
I can choose a suitable method without being told.
I can show clear working and check my answer.

Worked example

A triangle has angles 52° and 68°. Find the third angle.

Model method

Step 1

Angles in a triangle add to 180°.

Step 2

52° + 68° = 120°.

Step 3

180° - 120° = 60°.

Answer

60°

Quick practice

Question 1

Find the missing angle on a straight line when one angle is 73°.

Question 2

Find the area of a triangle with base 8 cm and height 5 cm.

Question 3

Find the hypotenuse when the shorter sides are 6 cm and 8 cm.

Related resources

These are linked to the wider Geometry topic for now.

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