25 !
100 units (4 sides x 25 = 100)
Area of a square = (side length)2 = 100 meters2Side length = sqrt( 100 meters2 ) = 10 metersPerimeter of a square = (4 x side length) = 4 x 10 = 40 meters
On a square all 4 sides are the same length. If the perimeter is 100 that means all 4 sides add up to 100. That means you can divide 100 by 4 and get the length of any one side. The area is 625. You can then take the square root of 625 and also get the length of any one side. Guess what? Both numbers are the same. The square root of 625 equals 100 divided by 4. Either way you get the length of any one side of the square, which is 25.
25
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
100/4 m
Perimeter is 100', so each side = 25' and 25 squared = 625. QED
100 units (4 sides x 25 = 100)
There is no direct relationship. The perimeter is proportional to the length of the side (if you increase the side by a factor of 10, the perimeter will also increase by a factor of 10); the area is proportional to the square of the side length (if you increase the length of a side by a factor of 10, the area will increase by a factor of 100).If you know the perimeter, divide it by 4 and then square the result, to get the area (A = (P/4)2); if you know the area, take the square root and then multiply by 4 to get the perimeter (P = root(A) x 4).There is no direct relationship. The perimeter is proportional to the length of the side (if you increase the side by a factor of 10, the perimeter will also increase by a factor of 10); the area is proportional to the square of the side length (if you increase the length of a side by a factor of 10, the area will increase by a factor of 100).If you know the perimeter, divide it by 4 and then square the result, to get the area (A = (P/4)2); if you know the area, take the square root and then multiply by 4 to get the perimeter (P = root(A) x 4).There is no direct relationship. The perimeter is proportional to the length of the side (if you increase the side by a factor of 10, the perimeter will also increase by a factor of 10); the area is proportional to the square of the side length (if you increase the length of a side by a factor of 10, the area will increase by a factor of 100).If you know the perimeter, divide it by 4 and then square the result, to get the area (A = (P/4)2); if you know the area, take the square root and then multiply by 4 to get the perimeter (P = root(A) x 4).There is no direct relationship. The perimeter is proportional to the length of the side (if you increase the side by a factor of 10, the perimeter will also increase by a factor of 10); the area is proportional to the square of the side length (if you increase the length of a side by a factor of 10, the area will increase by a factor of 100).If you know the perimeter, divide it by 4 and then square the result, to get the area (A = (P/4)2); if you know the area, take the square root and then multiply by 4 to get the perimeter (P = root(A) x 4).
P =100
Area of a square = (side length)2 = 100 meters2Side length = sqrt( 100 meters2 ) = 10 metersPerimeter of a square = (4 x side length) = 4 x 10 = 40 meters
On a square all 4 sides are the same length. If the perimeter is 100 that means all 4 sides add up to 100. That means you can divide 100 by 4 and get the length of any one side. The area is 625. You can then take the square root of 625 and also get the length of any one side. Guess what? Both numbers are the same. The square root of 625 equals 100 divided by 4. Either way you get the length of any one side of the square, which is 25.
Hint: the perimeter of a square is the sum of its four sides, so each side is one-quarter of the perimeter...
25
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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100 cm