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
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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.
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
In general you cannot find the perimeter of any shape if only the area is given.
divide the perimeter by four to get the length of one side then square your answer to find the area
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.