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.
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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 = side2
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 = 16cm2
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 diagonalthen 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:
c2 = a2 + a2 = 2a2
We clear the value of the variable 'a' and we are left with this form:
a = √(c2/2)
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 = √(42/2) = √(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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