Depending on the figure given you can find the area from the perimeter
For example-
If you have a square with a perimeter of 24, you divide 24 by 4 because all the sides of a square are congruent. In turn you will 6 as each side of the square
The formula for the area of a square is side2 so you get 62 which is 36.
The area is 36
Chat with our AI personalities
Perimeter and area have a relationship but the shape of the space and area together determine the perimeter.
A circle has the maximum Area for a given perimeter -or- the minimum perimeter for a given area.
Area = pi * radius * radius and perimeter = 2*pi * radius
for a circle; perimeter = 2* pi * square root of (Area/pi)
With regards to square and rectangles the closer a shape is to square the greater the Area for a given perimeter -or- the minimum the perimeter to a given area.
Square Area = side * side and periemter = 4 * side
So perimeter = 4 * square root (Area)
To solve for a rectangle, you must know ONE side to solve as the relationship between the Area and the perimeter is change as the relative size of side1 and side 2 changes.
Rectangle Area = side1 * side2 and perimeter = 2 * (side1 + side2)
so perimeter = 2 * (Area/side1 + side1) or 2 * (Area/side2 + side2)
To find the perimeter you add and to find the area we multiply.
Perimeter minus two times the width will give you the two times the length. Area is found by multiplying the length by the width.
you divide the area by four and now you can find the perimeter
Perimeter = 2*Area/Apothem.
Perimeter = 4*Side so that Side = Perimeter/4 Area of a rhombus = Side * Altitude so Altitude = Area/Side = Area/(Perimeter/4) = 4*Area/Perimeter