Calculate Perimeter From Square Feet

The perimeter of a foursquare is the total length covered by its boundary, in a plane. Perimeter is the path that encompasses a shape. The perimeter of a airtight geometrical shape (two-dimensional) is calculated by adding all the sides together. A square is a 4-sided polygon, thus its perimeter of the foursquare will exist equal to the sum of all its four equal sides. Here, we accept given a detailed explanation of the perimeter of the square, formula and derivation along with solved examples.

What is Perimeter of a Square?

The perimeter of any closed geometrical object is divers as the distance around that object. The perimeter of a square is the altitude covered by its 4 sides. Perimeter surrounds or outlines the shape in a 2-dimensional airplane.

Since all the sides of a square are equal, therefore, the perimeter of square will be 4 times its side, i.e. 4 × Side. It is measured in units, such as k, cm, in, ft, etc.

Perimeter of Square Formula

The formula to find the perimeter of a square is given beneath:

Perimeter of Square (P) = 4 × Side

Example: If length of side of square is 3cm, then find its perimeter.

Perimeter of square = 4 ten side = 4 10 3 = 12 cm.

Derivation of Perimeter of Square Formula

The perimeter of the square is defined as the full length of the boundary of a foursquare. Nosotros need to add together all the sides of square to find its perimeter. By the formula of perimeter of polygon, we know;

Perimeter = sum of all sides

Perimeter of square = Sum of the lengths of four sides

= side + side + side + side

= 4 × side

Therefore, the perimeter of Square = 4s units

Where, s = Length of a side of the foursquare

How to Find Perimeter of Foursquare?

We accept already learned to calculate the perimeter of the foursquare using the formula,

Perimeter = 4 × side

But if the length of the side of square is not given, and then nosotros tin calculate the perimeter of square, if two we are given with either of two details:

Length of diagonal of foursquare
Area of foursquare

Permit usa figure out, how nosotros can find the perimeter using diagonal and using surface area.

Perimeter of Square Using Diagonal

As we know, a square is regular polygon that has all sides equal. Also, all the four angles of square are 90 degrees. Thus, we go the length of diagonal of square, using Pythagoras theorem, as:

Diagonal = Side.√2

Thus, the side of square tin can be written equally:

Side = Diagonal/√2

Side of foursquare = √ii(Diagonal/2)

Equally we know,

Perimeter of square = 4 x side = 4 x √2(Diagonal/2)

Perimeter of square = 2√two(Diagonal) units.

Hence, we can find the perimeter using diagonal of foursquare.

Example: Find the perimeter of square, whose diagonal length is x cm.

Past using the above formula, we accept;

Perimeter = 2√2(Diagonal) = two√two(x) = 20√2 cm.

Perimeter of Square Using Area

The area of a foursquare is defined as the space occupied by the square. The formula for expanse of foursquare is given by:

Area of a Square = side × side = side² square units

where "s" is the length of one side.

Now, we can write, side of the foursquare westward.r.t. area,

side = √Area

Hence, the perimeter of square will exist:

Perimeter = 4 ten side = 4 √Area units.

Thus, we tin find the perimeter of a square given its area.

Case: If expanse of foursquare is 16 sq.cm. Observe its perimeter.

Using the above formula, we have;

Perimeter = 4 √Area = 4 √16 = 4 x 4 = xvi cm.

Expanse Of Square Using Diagonals
Difference between Area and Perimeter
Perimeter
Perimeter of a Parallelogram
Perimeter of Rectangle
Perimeter of Triangle

Solved Examples on Perimeter of Square

Question one: Detect the perimeter of a square whose side is 5 cm.

Solution:

Given:

Side, s = 5 cm

The formula to notice the perimeter of a square is given by:

The perimeter of Square = 4s units

Substitute the value of 'south' in the perimeter formula,

P= iv × 5 cm

P = 20 cm

Therefore, the perimeter of square = xx cm

Question two: Calculate the perimeter of a foursquare having a side of sixteen cm.

Solution:

Given,
Side of the square = a = 16 cm

Perimeter of a Square = 4a
= 4 × sixteen
= 64 cm

Question iii: If the perimeter of a square is 92 cm, find its side.

Solution:

Perimeter = 4 × side

Or, Side of Square = ¼ × perimeter

Then, side of the square = 92/4 = 23 cm

Practice Questions on Perimeter of foursquare

What is the perimeter of foursquare, whose side is equal to 11 cm?
If length of side of square is 5.5 cm, and so find its perimeter.
The length of diagonal of a square is equal to 9 cm. Discover its perimeter. (Use: √two = 1.414)
If the surface area of square is 100 sq.in., discover its perimeter.

Frequently Asked Questions

What is the Perimeter of a Square?

The perimeter of a square is defined as the full altitude effectually the exterior of the square. Then, it can be said that a square's perimeter is its total boundary.

How to Find the Perimeter of a Foursquare?

To calculate the perimeter of a square, add all the sides of it. There are four sides of a square which are all equal in length. The sum of the sides volition give its perimeter. Nosotros can employ too observe the perimeter of square if the length of diagonal or area of square is given to us.

What is the Formula for the Perimeter of a Square?

The formula for the perimeter of a square is, P = Side + Side + Side + Side

Or, P = four × Side

What is the unit of perimeter of square?

Perimeter of square is the total distance enclosed by its sides. Perimeter is measures in units such as meters (m), centimeters (cm), inches (in), etc.

What is area of a square?

The area of a square is the region that the square covers in a 2-dimensional space. The expanse of a square tin can also be defined as the number of square units information technology takes to make full the square.