Converting units of area is one area in Maths that students make lots of mistakes as they haven't thought about the conversion factors.

When we are converting from, for example, metres into cm, we know that 1m = 100cm. This leads to the misconception that 1m^{2} = 100cm^{2}. In reality, 1m^{2} = 10000 cm^{2}.

**???????**

Let's look at what's happening here. If we look at a square that measures 1m on each side.

Looking at the areas of these two identical squares, we can say that

1 m x 1 m = 100 cm x 100 cm

1m^{2} = 10000 cm^{2}

Is there a trick?

In a way, yes, All you need to do for an area conversion is to find the conversion if it wa a length and then square it to get the area conversion.

**Example 1: Convert 1.4m ^{2} into cm^{2}.**

We know that for a length 1m = 100cm

So for an area 1m^{2} = 10000cm^{2}.

1.4m^{2} = 1.4 x 10000 = 14000 cm^{2}.

**Example 2: Convert 350m ^{2} into km^{2}.**

We know that for a length 1km = 1000m

So for an area 1km^{2} = 1000000m^{2}.

350m^{2} = 350 ÷ 1000000 = 0.00035 m^{2}.