Question

A square has an area of $100$ sq. yards. What is the perimeter of the square?

Answer 1

Hint:In the above question, area of the square is given as $100$ sq. yards. Therefore, with the help of the formula of area we can find the length of the square and with the help of length we can find the perimeter using the formula of perimeter.

Complete step by step answer:
In the above question, it is given that the area of the square is $100$ sq. yards.
Therefore, we can use the formula of area of the square to find the length of the square.
We have,
Area of square $ = \,{\left( {side} \right)^2}$
Now, substituting the value of area in the above equation.
$ \Rightarrow {\left( {side} \right)^2} = 100$
Taking square root both sides, we get
$ \Rightarrow side = \sqrt {100} $
$ \Rightarrow side = 10\,yards$
Now, we got the length of the side of the square. We will apply the formula of perimeter to find its value.
Perimeter of square $ = 4 \times side$
Now, substitute the value of length of side.
$ \Rightarrow 4 \times 10$
On multiplication, we get
$ \Rightarrow 40\,yards$
Therefore, the perimeter of the square is $40\,yards$.

Note:The perimeter of a square is defined as the total length that its boundary covers. Therefore, in the above question we can also find the perimeter by adding all the sides of the square. The perimeter of the square can also be calculated if the length of its diagonal is known to us. But for that first we have to find the side length of the square using Pythagoras theorem.