Maths Olympiad · topic 11 of 33 · free

Perimeter and area — Maths Olympiad practice

Perimeter is the length all the way round a shape; area is how much space it covers. The wrong options in Olympiad papers are usually the other one, so first decide which you need, then use the right formula.

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How to solve it

Round or inside? — “perimeter is the distance around (cm); area is the space inside (sq cm)”

Rectangle: perimeter = 2 × (length + width); area = length × width.
Square: perimeter = 4 × side; area = side × side. From the perimeter, side = perimeter ÷ 4.
Missing side: width = area ÷ length.

Use it for: Garden fences, floor tiles, photo frames and every mensuration question in Class 4–7.

Worked example: A square has a perimeter of 36 cm. What is its area? 81 sq cm

Side = 36 ÷ 4 = 9 cm.
Area = 9 × 9 = 81 sq cm.

Check: 4 × 9 = 36 cm round, and 9 rows of 9 squares make 81 sq cm ✓

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✓ Written and checked by the TalentJR team · Updated 13 Oct 2026 · How we make our lessons

✏️ Practice

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🏁 Topic 11 test

20 questions. Check each answer, then go to the next one. Get 16 or more right to pass.

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🖨️ Perimeter and Area Worksheet for Maths Olympiad

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