Question

What is the area of a square whose side length is $24cm$ ?

Answer 1

Hint: Here in this question we want to find the area of a square whose side is given to us as $24cm$. To find the area of a square, we have a standard formula $Area = {\left( {Side} \right)^2}$. We know the value of the side of the square as it is provided to us in the problem itself. We substitute the known values and determine the area of the square using the formula.

Complete step by step solution:
A square is a two dimensional shape with four equal sides. So, it is a quadrilateral with all of the sides being equal and each angle being a right angle.
To determine the area of a square, we have the standard formula $A = {\left( {Side} \right)^2}$ where A represents the area of the square. The side of a square is the line segment which joins two consecutive vertices of a square. The side of a square is often denoted as ‘S’ or ‘s’. The unit for the area is square units. In the given question, we are given the length of the side of the square in centimetres. So, we get the area of the square using the formula in the unit $c{m^2}$.
To find the area of a square, we use formula $A = {\left( {Side} \right)^2}$. The radius of the circle is given as $24cm$.
By substituting, we get,
$A = {\left( {Side} \right)^2}$
$ \Rightarrow A = {\left( {24cm} \right)^2}$square centimetres
Square of a number can be calculated by multiplying the number with itself.
Now, we know that the square of $24$ is $576$. So, we get,
$ \Rightarrow A = 576$ square centimetres
Hence the area of a square whose length of its side is given to us as $24cm$ is $576\,c{m^2}$.

Note:
Generally the area is the region occupied by the thing. The area of a square is defined as the region occupied by the quadrilateral region. It can be determined by using formula $A = {s^2}$, where $s$ represents the side of the square and A denotes the area of the square.