Question

The area of a square field is 7744 sq. meters. Find its perimeter.

Answer 1

Hint:
Here, we have to use the concept of the area to find out the length of the side of the square field. Firstly we have to equate the area of the square field to the given value i.e. 7744 sq. meters and by solving this we will get the length of the side of the square field. Then we will be able to find out the perimeter of the square field.
Formula used:
Perimeter of the square \[{\rm{ = 4}} \times {\rm{Side}}\]
Area of the square \[{\rm{ = Sid}}{{\rm{e}}^{\rm{2}}}\]

Complete step by step solution:
Let \[{\rm{x}}\] be the length of the side of the square field.
It is given that the area of the square field is 7744 sq. meters.
Area of the square field\[{\rm{ = }}7744\]
\[ \Rightarrow {\rm{Sid}}{{\rm{e}}^{\rm{2}}} = 7744\]
\[ \Rightarrow {{\rm{x}}^{\rm{2}}}{\rm{ = 7744}}\]
By solving the above equation we will get the value of \[{\rm{x}}\] i.e. length of the side of the square field.
Therefore, we get \[\Rightarrow {\rm{x = }}\sqrt {{\rm{7744}}} {\rm{ = 88 meter}}\]
Now, to find the value of the perimeter of the square field we only have to put the value of the side in the formula of perimeter.
Perimeter of the square field\[{\rm{ = 4}} \times {\rm{Side = 4x = 4}} \times {\rm{88 = 352 meter}}\]

Hence, 352 meters is the perimeter of the square field.

Note:
Perimeter is the total length of the outer boundary of a shape in two dimensional. Perimeter is measured in meters. Area is the amount of surface covered by a shape in two dimensional. Surface area is the sum of all the areas of the faces of an object or shape. Area and surface area is measured in square meters. Volume is the amount of space occupied by an object in three-dimensional space. Volume is measured in cubic meters.
It is important to write the units of measurement with the values.