Answer
422.4k+ views
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.
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.
![seo images](https://www.vedantu.com/question-sets/ca6652c8-ee55-4c27-a225-2803f21d6d231892764216967974774.png)
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.
Recently Updated Pages
Mark and label the given geoinformation on the outline class 11 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
When people say No pun intended what does that mea class 8 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Name the states which share their boundary with Indias class 9 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Give an account of the Northern Plains of India class 9 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Change the following sentences into negative and interrogative class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Advantages and disadvantages of science
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Trending doubts
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Which are the Top 10 Largest Countries of the World?
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference Between Plant Cell and Animal Cell
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
10 examples of evaporation in daily life with explanations
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Give 10 examples for herbs , shrubs , climbers , creepers
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Write a letter to the principal requesting him to grant class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
How do you graph the function fx 4x class 9 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)