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 1m2 = 100cm2. In reality, 1m2 = 10000 cm2.
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
1m2 = 10000 cm2
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 1.4m2 into cm2.
We know that for a length 1m = 100cm
So for an area 1m2 = 10000cm2.
1.4m2 = 1.4 x 10000 = 14000 cm2.
Example 2: Convert 350m2 into km2.
We know that for a length 1km = 1000m
So for an area 1km2 = 1000000m2.
350m2 = 350 ÷ 1000000 = 0.00035 m2.