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.

How to solve it

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

  1. Rectangle: perimeter = 2 × (length + width); area = length × width.
  2. Square: perimeter = 4 × side; area = side × side. From the perimeter, side = perimeter ÷ 4.
  3. 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

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

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

✏️ Practice

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🖨️ Perimeter and Area Worksheet for Maths Olympiad

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