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# How do you find the area of a square with sides $6$ centimeters long?

Last updated date: 13th Jun 2024
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Hint: Let us assume that the length of the given square is $6$ cm. Let this be equation (1). We very well know that if the length of the side of a square is equal to $x$ cm, then the area of the square is equal to ${x^2}$ sq.cm. Let us say that the area of the square is equal to $A$ sq.cm. So, we are now supposed to find the square of value of $x$ cm which is obtained from equation (1). Let this be equation (2). Now, from equation (2) we can easily find the value of the area of the square whose sides are $6$ cm long.

Before solving the given question, we should keep in mind that if the length of the side of a square is equal to $x$ cm, then the area of the square is equal to ${x^2}$ sq.cm.
It is already given that the length of the side of the square is equal to 6 cm. Let us assume that the side of the square is equal to $x$ .
$\Rightarrow x = 6$ ---(1)
We already know that the area of the square with side $x$ cm is equal to ${x^2}$ sq.cm.
$\Rightarrow A = {x^2}$ --(2)
$\Rightarrow A = {\left( 6 \right)^2} \\ \Rightarrow A = 36 \;$
So, it is clear that the area of the square whose side is equal to $6$ cm is $36$ sq.cm.
Thus, Area = $36\;c{m^2}$ .
So, the correct answer is “Area = $36\;c{m^2}$ ”.
Note: There is usually a misconception among students, which is that if the diagonal of a square is equal to $x$ cm, then the area of the square is equal to ${x^2}$ sq.cm. Due to this misconception the answer gets affected. Thus, this misconception should be avoided.