answersLogoWhite

0


Best Answer

The perimeter of a square is the measurement of all the external sides, of which there are of course 4.

We also know that for a square all of these 4 sides are of equal length.

Therefore if we divide the perimeter by 4 we get the length of one side.

If you then square this length (multiply it by itself) you get the area of the square.

so if the perimeter measurements was 40 units

40/4 gives you the length of one side = 10 units

and 10*10 gives you the area of the square - 100 square units.

thus generically the area of a square with a perimeter of 'x' = (x/4)2

User Avatar

Wiki User

12y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: How do you find the area of a square if given a perimeter?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Continue Learning about Math & Arithmetic
Related questions

How do you find the perimeter of one side of a square when you are given the area and a smaller square inside?

If you are given the area, A square units, then each side of the square is sqrt(A) units. And then the perimeter is 4*sqrt(A) units. The smaller square inside is irrelevant.


How do you find the perimeter using area?

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


How do you find the area if perimeter is given?

If the area is a square, 1/4 of the perimeter is the length of one side. That length squared is the area. The area will be the product of two numbers whose sum is half the perimeter.


What is the area of a square that has a perimeter of 12?

To find the area of a square if the perimeter is given, we must divide it by 4. Here, we have to divide 12 by 4, which is 3. The area of a square is side squared, so that is 3 squared or 9.


If you know a perimeter of a square but not the length or width how do you find the area?

Divide the perimeter by 4 and then square the result to find the area of the square.


Flowchart to find area of area and perimeter of a square?

creat a flowchart that will compute for the area and perimeter of a square?


Have an area of square how do you find the perimeter?

Are you serious ? For a square: Perimeter = 4 times sqrt(area)


How do you find the perimeter of a hexagon if the area is given?

In general you cannot find the perimeter of any shape if only the area is given.


How do you find the area if the perimeter is only given?

If you are talking about a rectangle, you can't find the area from just the perimeter. With a perimeter of say 80 units, the sides could be 10 and 30, with an area of 300 square units. But the sides could also be 5 and 35, with an area of 175 square units. There are lots of other possibilities. If you are talking about a square, that's different. Each side is a quarter of the perimeter, so the area is a quarter of the perimeter multiplied by a quarter of the perimeter.


How do you get area of a square with perimeter?

divide the perimeter by four to get the length of one side then square your answer to find the area


How can you find the perimeter of a square if you know the area?

You square-root the area


Find the maxium possible area of a rectangle with a perimeter of 100 feet?

Max rectangular area for a given perimeter is a square.P = 100S = 25Area = 252 = 625 square feet