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# Converting metric units of area
- URL: https://www.esheets.io/converting-metric-units-of-area/
- Published: 2025-11-20T16:06:28.000Z
- Updated: 2026-06-21T16:41:55.000Z
- Author: Richard Linnington
- Tags: Maths, Geometry and Shape

Whether you're calculating the size of a garden, a sports pitch, or even the surface area of a country on a map, knowing how to switch between units like mm², cm², m² and km² is a key life skill. This worksheet will help you practise converting between these metric units with precision. [Jump to the questions](#practise-now)

## Practise now

Worksheet preview and key skills 

### Worksheet preview

Practise converting metric units of area with this self-marking maths worksheet.

The interactive worksheet below generates questions, gives instant feedback, and lets students record their score.

#### What you’ll practise

- Converting between square units.
- Remembering that area conversion factors are squared.
- Multiplying or dividing by the correct scale factor.
- Keeping the correct square unit in the answer.

Use the interactive worksheet below, or read the [Topic guide](#topic-guide) for the method and worked example.

## Topic guide

### What this worksheet practises

This worksheet provides practice on converting metric units of area, such as changing cm² into mm², or m² into cm². Area conversions are tricky because you cannot use standard length conversions (like 1 cm = 10 mm). Because area is 2-dimensional (length × width), the conversion factor must be squared.

### Key method

To convert an area, you must square the linear conversion factor.

- First, recall the standard linear conversion (e.g. 1 cm = 10 mm).
- Second, square this conversion to find the area conversion factor. If 1 cm = 10 mm, then 1 cm² = 10² mm² = 100 mm².
- Multiply by this squared factor when converting from a larger unit to a smaller unit.
- Divide by this squared factor when converting from a smaller unit to a larger unit.

### Worked example

**Convert 4 m² into cm².**

Step 1: Recall the standard length conversion.

1 m = 100 cm.

Step 2: Square the conversion to find the area factor.

1 m² = 100 × 100 = 10,000 cm².

Step 3: Multiply the area by the conversion factor.

4 × 10,000 = 40,000.

The answer is 40,000 cm².

### Common mistakes to avoid

The overwhelming majority of mistakes happen when students use the linear conversion instead of the area conversion. For example, assuming that 4 m² is 400 cm² (because 1 m is 100 cm). You must always remember that area involves two dimensions, so the conversion multiplier must happen twice (or be squared).

### Things to remember

If you forget the squared conversions, draw a quick 1m by 1m square. Its area is 1 m². Now label those same sides in centimetres: 100 cm by 100 cm. The area is 100 × 100 = 10,000 cm². Drawing this instantly proves the conversion factor.