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Area of a Square when perimeter is given Solution

STEP 0: Pre-Calculation Summary
Formula Used
area = (1/16)*(Perimeter)^2
A = (1/16)*(P)^2
This formula uses 1 Variables
Variables Used
Perimeter - The perimeter of a figure is the total distance around the edge of the figure. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Perimeter: 20 Meter --> 20 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = (1/16)*(P)^2 --> (1/16)*(20)^2
Evaluating ... ...
A = 25
STEP 3: Convert Result to Output's Unit
25 Square Meter --> No Conversion Required
FINAL ANSWER
25 Square Meter <-- Area
(Calculation completed in 00.016 seconds)

11 Other formulas that you can solve using the same Inputs

Radius of rectangle circumscribed circle when perimeter and length of the rectangle are given
radius_of_circumscribed_circle = sqrt((Perimeter)^2-4*Perimeter*Length+8*(Length)^2)/4 Go
Diagonal of a Rectangle when breadth and perimeter are given
diagonal = sqrt((2*(Breadth)^2)-(Perimeter*Breadth)+((Perimeter)^2/4)) Go
Diagonal of a Rectangle when length and perimeter are given
diagonal = sqrt((2*(Length)^2)-(Perimeter*Length)+((Perimeter)^2/4)) Go
Area of a Rectangle when breadth and perimeter are given
area = (Perimeter*(Breadth/2))-(Breadth)^2 Go
Area of rectangle when perimeter and breadth are given
area = (Perimeter*Breadth-2*(Breadth)^2)/2 Go
Area of a Rectangle when length and perimeter are given
area = (Perimeter*(Length/2))-(Length)^2 Go
Area of rectangle when perimeter and length are given
area = (Perimeter*Length-2*(Length)^2)/2 Go
Length of rectangle when perimeter and breadth are given
length = (Perimeter-2*Breadth)/2 Go
Breadth of rectangle when perimeter and length are given
breadth = (Perimeter-2*Length)/2 Go
Diagonal of a Square when perimeter is given
diagonal = (Perimeter/4)*sqrt(2) Go
Side of a Kite when other side and perimeter are given
side_a = (Perimeter/2)-Side B Go

11 Other formulas that calculate the same Output

Area of a Triangle when sides are given
area = sqrt((Side A+Side B+Side C)*(Side B+Side C-Side A)*(Side A-Side B+Side C)*(Side A+Side B-Side C))/4 Go
Area of a Rhombus when side and diagonals are given
area = (1/2)*(Diagonal A)*(sqrt(4*Side^2-(Diagonal A)^2)) Go
Area of a Rectangle when breadth and diagonal are given
area = Breadth*(sqrt((Diagonal)^2-(Breadth)^2)) Go
Area of a Rectangle when length and diagonal are given
area = Length*(sqrt((Diagonal)^2-(Length)^2)) Go
Area of a Trapezoid
area = ((Base A+Base B)/2)*Height Go
Area of a Rhombus when diagonals are given
area = (Diagonal A*Diagonal B)/2 Go
Area of a Triangle when base and height are given
area = 1/2*Base*Height Go
Area of a Rectangle when length and breadth are given
area = Length*Breadth Go
Area of a Parallelogram when base and height are given
area = Base*Height Go
Area of a Square when diagonal is given
area = 1/2*(Diagonal)^2 Go
Area of a Square when side is given
area = (Side A)^2 Go

Area of a Square when perimeter is given Formula

area = (1/16)*(Perimeter)^2
A = (1/16)*(P)^2

What is Area of a Square when perimeter is given?

The area of a Square when the perimeter is given is defined as the number of square units needed to fill a square. In general, the area is defined as the region occupied inside the boundary of a flat object or figure. The measurement is done in square units with the standard unit being square meters (m2). By finding the number of unit squares that are required to fill a shape, we can find its area. The area of a square when the perimeter is given is 1/16th of the square of its perimeter.

How to Calculate Area of a Square when perimeter is given?

Area of a Square when perimeter is given calculator uses area = (1/16)*(Perimeter)^2 to calculate the Area, The area of a square when the perimeter is given is defined as the number of square units needed to fill a square with a given perimeter. Area and is denoted by A symbol.

How to calculate Area of a Square when perimeter is given using this online calculator? To use this online calculator for Area of a Square when perimeter is given, enter Perimeter (P) and hit the calculate button. Here is how the Area of a Square when perimeter is given calculation can be explained with given input values -> 25 = (1/16)*(20)^2.

FAQ

What is Area of a Square when perimeter is given?
The area of a square when the perimeter is given is defined as the number of square units needed to fill a square with a given perimeter and is represented as A = (1/16)*(P)^2 or area = (1/16)*(Perimeter)^2. The perimeter of a figure is the total distance around the edge of the figure.
How to calculate Area of a Square when perimeter is given?
The area of a square when the perimeter is given is defined as the number of square units needed to fill a square with a given perimeter is calculated using area = (1/16)*(Perimeter)^2. To calculate Area of a Square when perimeter is given, you need Perimeter (P). With our tool, you need to enter the respective value for Perimeter and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Area?
In this formula, Area uses Perimeter. We can use 11 other way(s) to calculate the same, which is/are as follows -
  • area = 1/2*Base*Height
  • area = sqrt((Side A+Side B+Side C)*(Side B+Side C-Side A)*(Side A-Side B+Side C)*(Side A+Side B-Side C))/4
  • area = Length*Breadth
  • area = Length*(sqrt((Diagonal)^2-(Length)^2))
  • area = Breadth*(sqrt((Diagonal)^2-(Breadth)^2))
  • area = (Side A)^2
  • area = 1/2*(Diagonal)^2
  • area = (Diagonal A*Diagonal B)/2
  • area = (1/2)*(Diagonal A)*(sqrt(4*Side^2-(Diagonal A)^2))
  • area = Base*Height
  • area = ((Base A+Base B)/2)*Height
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