Question

The perimeter of a square is 16 cm. What is the area?

Answer 1

Hint: Area: The area can be defined as the space occupied by a flat surface of an object. The area is the number of unit squares closed by figure. Perimeter is the total length of the sides of the two dimensional shape. Perimeter is always less than the area of the given figure. Because the perimeter is outer and the area is inner property.

Complete step-by-step answer:
Given,
Perimeter of square, P=16cm
Side of the square, a=?
The formula of perimeter of square is given by:
 $ \Rightarrow P = 4 \times a $
 $ \Rightarrow 16 = 4 \times a $
 $ \Rightarrow a = \dfrac{{16}}{4} $
 $ \Rightarrow a = 4cm $
Now the area of the square will be, A:
 $ \Rightarrow A = a \times a $
Put the value in the formula.
\[ \Rightarrow A = 4 \times 4\]
 $ \Rightarrow A = 16\;c{m^2} $
So, the correct answer is “ $ A = 16\;c{m^2} $ ”.

Note: Perimeter is the sum of all sides. Where the area is space occupied by the closed figure. Volume is how much an object will hold. There is not any direct relation between area and perimeter. But both of them totally depend on dimensions of the figure.