If P = 40 then L + W = 20. The only combination which gives A = 100 is where L and W are both 10, ie the figure is a square of side 10 cm.
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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
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
The perimeter is 40m
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 !