Square Yards and Square Meters Converter
Using the Square Yards and Square Meters Converter
This converter allows for conversion between the metric unit of area of square meters and the imperial unit of area of square yards.
| # | Step |
|---|---|
| 1 | Start by choosing the spelling you want to see throughout the converter. The choice is between the American and the British spelling, which will affect how the word ‘meter’ is spelled. If you choose the British spelling, it will appear as ‘metre’ throughout the text. |
| 2 | Then shift your attention to the ‘CONVERT FROM’ section, where you make the choice of your input unit (the unit in which the value you are trying to convert comes). The choice is between square yards (yd2) and square meters (m2). |
| 3 | The output unit (the unit in which the result of the conversion will be) is selected in the ‘CONVERT TO’ section. The choice is between the same two units as in the case of the input. |
| 4 | An alternative way to select the input and output units is to stick with the default options or to swap them by clicking on the icon with 2 arrows headed in opposite directions. |
| 5 | When your input and output units are selected to your liking, type in the input value as a decimal number using the decimal dot. This takes place in the ‘VALUE TO CONVERT’ section of the converter. |
| 6 | Follow up by selecting the number of decimal places you want your output rounded toward. Finish by clicking on the ‘CONVERT’ icon and your result will appear below the converter. |
Alongside the result, which will be displayed as a decimal number rounded to the desired number of decimal places, you will receive the conversion rate between your input and output values, as well as a convenient ‘COPY’ icon that allows you to copy and paste the result easily.
Converting Square Yards and Square Meters Manually
Since we are converting between an imperial and a metric unit of area, the conversion rate will not be defined by a neat, whole number. Hence, we will be rounding the conversion rates to a reasonable number of decimal places. For more accurate calculations, use our converter.
Sizes of square units of area come from the units of length that define them.
In the case of the square yard, it is defined as the area of a square with a side length of 1 yard, and in the case of a square meter, it is the area of a square with a side length of 1 meter.
Since we know that 1 meter is equivalent to 1.09 yards (rounded to 2 decimal places), we can square this relationship and get 1 square meter being equal to 1.19 square yards.
From here, we can define the conversion rate of square meters to square yards as 1:1.19, which can be expanded to 100:119.
This relationship will help us create 2 conversion formulae. The choice of the formula will depend on the subject of the formula, which should always be our output unit.
m^2 = yd^2\div1.19
yd^2 = m^2*1.19
Let’s demonstrate the usage of these formulae in 2 examples.
EXAMPLE 1: An office floor has an area of 100 square yards. What is the area of this office floor in square meters?
This problem has an output in square meters, hence the first formula is the best choice. We substitute 100 for YD2 and calculate as follows.
m^2 = yd^2\div1.19 \\= 100\div1.19 = 84.03 ~m^2
when rounded to 2 decimal places.
EXAMPLE 2: What is the area in square yards of a wall that has an area of 20 m2?
Since the output is in square yards, we will use the second formula. We substitute 20 for M2 and count as follows.
yd^2 = m^2*1.19 \\= 20*1.19 = 23.8 ~yd^2
Approximating Square Meters to Square Yards
The 2 units we are converting do not have a neat conversion rate. However, when converting from square meters to square yards, we must multiply by 1.19, which is fairly close to 1.2.
The trick to multiplying by 1.2 from memory is, that it is essentially the same operation as adding a fifth to a number.
That means that we take our value in square meters, and divide it by 5 (which is the same as dividing by 10 and then multiplying by 2, which can prove helpful in some situations).
We then take the result of this division and add it to the original value.
EXAMPLE: Approximate the equivalent value in square yards of 60 m2.
First, we divide 60 by 5. We will use our trick for easy division, and divide it by 10, getting 6. Then we multiply 6 by 2 and get 12.
Hence the approximated equivalent value is 60 + 12 = 72 yd2.
The converter gives us 71.75 yd2, proving that this is a very accurate approximation.