**Area of a square calculator** taking into account the value of one of its sides. This regular polygon has four exactly equal sides so the formula to calculate its area, we only have to square the value of one of its sides, which would be equivalent to multiplying its base by its height.

**Calculate the area of a square** automatically with our online calculator:

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## How to calculate the area of a square

If you want to learn how to calculate the area of a square, in this point we will show you how to do it from its area. **mathematical formula.**

The only thing we need to calculate the area of this polygon is the** measurement of one of its sides** (remember that all four are exactly the same). Once we know the measure of the side of the square, we apply this formula:

Area = base x height = side^{2}

For example, let's imagine that we have a square whose side measures 4 centimeters. In this case, the area will be :

Area = 4 cm x 4 cm = 16cm^{2}

Remember that the area units are squared.

## Calculate the area of a square by knowing its diagonal

If instead of knowing the value of its side **we know the one with its diagonal**then we need to apply the Pythagorean Theorem but taking into account that leg a and leg b have the same length. Because of this, the formula in this case will be the following:

c^{2} = a^{2} + a^{2} = 2a^{2}

We clear the value of the variable 'a' and we are left with this form:

a = √(c^{2}/2)

By **example,**Let's consider a square whose diagonal measures 4 centimeters. How long will its side measure? According to the formula above, we have that:

a = √(4^{2}/2) = √(16/2) = √8 = 2.83 centimeters.

Easy, isn't it? Remember that thanks to the Pythagorean Theorem, you can also calculate the diagonal of a square from the value of its sides. In the link that we have left in this paragraph you have a tool to find its value automatically.

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