Question

Draw a square of $ 25\,square\,\,cm $ and find its perimeter.

Answer 1

Hint: First we let side of a square be ‘x’ as we know that both area and perimeter of square both depends upon side of the square. Then, using given area we can find side and then using side so obtained in formula of perimeter to find required perimeter of a square.
Area of $ square\, = side \times side $ , perimeter of $ square = sum of all sides $.

Complete step-by-step answer:
Let the side of a square be ‘x’.
And, it is given that area of a square is $ 25\,\,square\,\,cm $ .
Firstly we draw a square of given conditions.

Also, we know that area of square is given as:
 $ Area\,\, = {(side)^2} $
 $
   \Rightarrow 25 = {(x)^2} \\
   \Rightarrow {(5)^2} = {(x)^2} \\
   \Rightarrow x = 5 \;
  $
Hence, side of a square is $ 5\,\,cm. $
Also, we know that perimeter of a square is given as: $ 4 \times (side) $
Therefore,
 $
  Perimeter = 4 \times 5 \\
   = 20 \;
  $
Hence, from above we see that perimeter of a square is $ 20\,\,cm. $
Therefore, from above we see that square of area $ 25\,\,squre\,\,cm $ will have side of measure $ 5\,\,cm $ and perimeter of length $ 20\,\,cm. $

Note: Wherever we face such a type of question in which one component of figure depends upon another component then we first calculate an unknown variable by using given condition and then using value so obtained in order to get the required solution of the problem.