How do you find the perimeter using area?

Answer 1

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

Answer 2

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)