Question

What is the area of a square with a length of 4cm?

Answer 1

Hint: Here the question is related to the mensuration topic. We have to determine the area of a square, where its length is given. By using the formula \[A = {s^2}\], s is the value of side or length and using the simple arithmetic operations we can determine the required solution for the given question.

Complete step-by-step answer:

In geometry, the area can be defined as the space occupied by a flat shape or the surface of an object. The area of a figure is the number of unit squares that cover the surface of a closed figure. Area is measured in square units such as square centimetres, square feet, square inches, etc.
The square is one of the plane figures where all its sides are equal and have equal length.
Now consider the given question.
The length of a square = 4cm
As we know that the formula for the area of a square is given by \[A = {s^2}\].
Here the value of s is 4 cm.
\[ \Rightarrow s = 4\,cm\]
On substituting the value of s in the formula we have
\[ \Rightarrow A = 4 \times 4\]
On multiplying 4 and 4 we get
\[A = 16\,sq.cm\]
Therefore the area of a square is \[16\,sq\,.\,cm\]
So, the correct answer is “\[16\,sq\,.\,cm\]”.

Note: To solve these kinds of problems we have to know about the formulas. In a measurement we have to remember to write a unit. For the perimeter the unit will be the same as the unit of the given length and for the area the unit will be square units. Students must remember the units and they have to mention it.