Question

The area of the square is 169 square ft. How do you find the perimeter of the square?

Answer 1

Hint: To find the perimeter of the square, we need to know the length of the square by applying the formula \[A = {l^2}\]. By this we can easily find the perimeter of the square using the formula \[P = 4l\], we need to take the length value as 4 times the length of each side of the square as the square consists of 4 sides.

Formula used:
\[A = {l^2}\]
\[A\]= Area of the square
\[l\]= length of side of square
\[P = 4l\]
\[P\]= Perimeter of the square

Complete step-by-step solution:
To find perimeter of the square, the formula is given by
\[P = 4l\]. As the length is not mentioned so let us calculate the length of the square.
Let \[l\] be the length of side of square
Formula for Area of the square is given as:
\[A = {l^2}\]
\[{l^2} = 169\]
As,
\[\sqrt A = l = \sqrt {169} \]
Therefore,
\[l = 13ft\].
As we got the value of \[l\] , now let us find the perimeter of the square using this value
Hence, formula to find Perimeter of square is given by
\[P = 4l\]
\[P = 4\left( {13} \right)\]

Therefore, Perimeter of the square is \[P = 52cm\].

Note: The key point to find Perimeter of the square is to know the value of its length, by this we can easily calculate the perimeter. The area of a square is the product of the length of each side with itself. A perimeter can be defined as the path or the boundary that surrounds a shape. It can also be defined as the length of the outline of a shape.