# Metric Area

These are the most common measurements of area (from smallest to largest):

**Square Millimeter****Square Centimeter****Square Meter****Hectare****Square Kilometer**

*Ariel the Dog is waiting patiently
inside 1 square meter.*

### Square Meter

The square meter is the **basic unit of area** of the Metric System.

Area is length by length, so:

A square that is 1 meter on each side

is **1 square meter**.

**meters × meters**, which is written

**m**(square meters).

^{2}You could have other shapes (such as a rectangle that is ½ a meter by 2 meters) that also make 1 square meter.

### Example: How big is this rectangle?

It is 2 meters by 3 meters, so it is **2 m × 3 m = 6 m ^{2}**

### Square Millimeter

A square millimeter is **millimeters × millimeters**, which is written mm^{2}.

A millimeter is one-thousandth of a meter (^{1}/_{1000} meter), so a square millimeter is also:

\frac{1}{1000} × \frac{1}{1000} = \frac{1}{1,000,000} of a square meter

In other words a square millimeter is **one-millionth** of a square meter.

So, a square meter has 1,000,000 square millimeters.

### Square Centimeter

A square centimeter is **centimeter × centimeter**,

It is written cm^{2}

A centimeter is one-hundredth of a meter (^{1}/_{100} meter), so a square centimeter is also:

\frac{1}{100} × \frac{1}{100} = \frac{1}{10,000} of a square meter

In other words a square centimeter is **one-ten-thousandth** of a square meter.

So a square meter has 10,000 square centimeters.

### Hectare

A hectare (ha) is an area equal to a square that is 100 meters on each side.

So a hectare has 100 m × 100 m = 10,000 m^{2} (square meters).

Hectares are commonly used to measure land.

### Square Kilometer

A square kilometer is **kilometer × kilometer**, which is written km^{2}.

A kilometer is a thousand meters, so a square kilometer is also:

1,000 m × 1,000 m = 1,000,000 m^{2} (square meters)

In other words a square kilometer is **one-million** square meters.

Square kilometers are commonly used to measure large areas of land.

## Some Examples

A square meter is:

- about half the area of a doorway
- the area of an A0 sheet of paper (or 16 sheets of A4 paper)

about the area covered by an opened large umbrella |

A hectare is about:

- two and a half acres
- 2.471 acres (to 3 decimal places)
- 100,000 square feet
- more precisely 107,639 square feet